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- https://math.libretexts.org/Courses/Fort_Hays_State_University/Review_for_Calculus/01%3A_Algebra/1.04%3A_Logarithmic_PropertiesRecall that the logarithmic and exponential functions “undo” each other. This means that logarithms have similar properties to exponents. Some important properties of logarithms are given here.
- https://math.libretexts.org/Courses/Chabot_College/MTH_1%3A_Calculus_I/03%3A_Derivatives/3.02%3A_Differentiation_RulesThe derivative of a constant function is zero. The derivative of a power function is a function in which the power on x becomes the coefficient of the term and the power on x in the derivative decrea...The derivative of a constant function is zero. The derivative of a power function is a function in which the power on x becomes the coefficient of the term and the power on x in the derivative decreases by 1. The derivative of a constant c multiplied by a function f is the same as the constant multiplied by the derivative. The derivative of the sum of a function f and a function g is the same as the sum of the derivative of f and the derivative of g.
- https://math.libretexts.org/Courses/Angelo_State_University/Finite_Mathematics/01%3A_Algebra_Essentials/1.02%3A_Exponents_and_Scientific_NotationIn this section, we review rules of exponents first and then apply them to calculations involving very large or small numbers.
- https://math.libretexts.org/Bookshelves/Calculus/Book%3A_Active_Calculus_(Boelkins_et_al.)/02%3A_Computing_Derivatives/2.03%3A_The_Product_and_Quotient_RulesIf a function is a sum, product, or quotient of simpler functions, then we can use the sum, product, or quotient rules to differentiate the overall function in terms of the simpler functions and their...If a function is a sum, product, or quotient of simpler functions, then we can use the sum, product, or quotient rules to differentiate the overall function in terms of the simpler functions and their derivatives. The product and quotient rules now complement the constant multiple and sum rules and enable us to compute the derivative of any function that consists of sums, constant multiples, products, and quotients of basic functions we already know how to differentiate.
- https://math.libretexts.org/Workbench/College_Algebra_2e_(OpenStax)/06%3A_Exponential_and_Logarithmic_Functions/6.06%3A_Logarithmic_PropertiesRecall that the logarithmic and exponential functions “undo” each other. This means that logarithms have similar properties to exponents. Some important properties of logarithms are given here.
- https://math.libretexts.org/Courses/Reedley_College/College_Algebra_1e_(OpenStax)/01%3A_Algebra_Review/1.01%3A_ExponentsTo simplify the power of a product of two exponential expressions, we can use the power of a product rule of exponents, which breaks up the power of a product of factors into the product of the powers...To simplify the power of a product of two exponential expressions, we can use the power of a product rule of exponents, which breaks up the power of a product of factors into the product of the powers of the factors. To simplify the power of a quotient of two expressions, we can use the power of a quotient rule, which states that the power of a quotient of factors is the quotient of the powers of the factors.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_400%3A_Calculus_I_-_Differential_Calculus/03%3A_Discovering_Derivatives/3.01%3A_Derivatives_of_Polynomial_FunctionsThis section covers how to find the derivatives of polynomial functions. It introduces the basic power rule for differentiation and demonstrates how to apply it to terms of various degrees. The sectio...This section covers how to find the derivatives of polynomial functions. It introduces the basic power rule for differentiation and demonstrates how to apply it to terms of various degrees. The section includes examples of differentiating polynomials and highlights the key steps for finding first and higher-order derivatives of polynomial functions. The focus is on understanding the straightforward process of differentiating terms of the form xn.
- https://math.libretexts.org/Courses/Chabot_College/MTH_1%3A_Calculus_I/03%3A_Derivatives/3.03%3A_The_Product_and_Quotient_RulesThe derivative of a constant function is zero. The derivative of a power function is a function in which the power on x becomes the coefficient of the term and the power on x in the derivative decrea...The derivative of a constant function is zero. The derivative of a power function is a function in which the power on x becomes the coefficient of the term and the power on x in the derivative decreases by 1. The derivative of a constant c multiplied by a function f is the same as the constant multiplied by the derivative. The derivative of the sum of a function f and a function g is the same as the sum of the derivative of f and the derivative of g.
- https://math.libretexts.org/Courses/Hartnell_College/MATH_25%3A_PreCalculus_(Abramson_OpenStax)/04%3A_Exponential_and_Logarithmic_Functions/4.05%3A_Logarithmic_PropertiesRecall that the logarithmic and exponential functions “undo” each other. This means that logarithms have similar properties to exponents. Some important properties of logarithms are given here.
- https://math.libretexts.org/Courses/Laney_College/Math_3A%3A_Calculus_1_(Fall_2022)/03%3A_Derivatives/3.04%3A_Differentiation_RulesThe derivative of a constant function is zero. The derivative of a power function is a function in which the power on x becomes the coefficient of the term and the power on x in the derivative decrea...The derivative of a constant function is zero. The derivative of a power function is a function in which the power on x becomes the coefficient of the term and the power on x in the derivative decreases by 1. The derivative of a constant c multiplied by a function f is the same as the constant multiplied by the derivative. The derivative of the sum of a function f and a function g is the same as the sum of the derivative of f and the derivative of g.
- https://math.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/Math_140%3A_Calculus_1_(Gaydos)/03%3A_Derivatives/3.03%3A_Differentiation_RulesThe derivative of a constant function is zero. The derivative of a power function is a function in which the power on x becomes the coefficient of the term and the power on x in the derivative decrea...The derivative of a constant function is zero. The derivative of a power function is a function in which the power on x becomes the coefficient of the term and the power on x in the derivative decreases by 1. The derivative of a constant c multiplied by a function f is the same as the constant multiplied by the derivative. The derivative of the sum of a function f and a function g is the same as the sum of the derivative of f and the derivative of g.
