Search
- Filter Results
- Location
- Classification
- Include attachments
- https://math.libretexts.org/Courses/City_University_of_New_York/Calculus_I_(CUNY)/03%3A_Derivatives/3.07%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/College_of_Southern_Nevada/Calculus_(Hutchinson)/03%3A_Differentiation/3.06%3A_The_Chain_RuleThus, if we think of h(x)=sin(x3) as the composition (f∘g)(x)=f(g(x)) where f(x)=sinx and g(x)=x3, then the derivative of h(x)=sin(x3) is the product of the derivat...Thus, if we think of h(x)=sin(x3) as the composition (f∘g)(x)=f(g(x)) where f(x)=sinx and g(x)=x3, then the derivative of h(x)=sin(x3) is the product of the derivative of g(x)=x3 and the derivative of the function f(x)=sinx evaluated at the function g(x)=x3.
- https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_1_(Sklar)/03%3A_Derivatives/3.06%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/Laney_College/Math_3A%3A_Calculus_1_(Fall_2022)/03%3A_Derivatives/3.07%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_I_(Reed)/03%3A_Derivatives/3.06%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Tran)/03%3A_Derivatives/3.07%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Nguyen)/03%3A_Derivatives/3.07%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_210_Calculus_I_(Seeburger)/03%3A_Derivatives/3.06%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/Chabot_College/MTH_1%3A_Calculus_I/03%3A_Derivatives/3.06%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_2410%3A_Calculus_1_(Beck)/03%3A_Derivatives/3.07%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
- https://math.libretexts.org/Courses/Reedley_College/Calculus_I_(Casteel)/03%3A_Derivatives/3.06%3A_The_Chain_RuleKey Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules t...Key Concepts The chain rule allows us to differentiate compositions of two or more functions. It states that for h(x)=f(g(x)), h′(x)=f′(g(x))g′(x). We can use the chain rule with other rules that we have learned, and we can derive formulas for some of them. The chain rule combines with the power rule to form a new rule: If h(x)=(g(x))n,then h′(x)=n(g(x))n−1g′(x).
