Explanation Given information: The given function is, f ( v ) = ( v − 3 + 4 v − 2 ) 3 Formula used: For the derivative of addition or subtraction of two functions, sum or difference rule is, h ( x ) = [ f ( x ) ± g ( x ) ] h ′ ( x ) = [ d d x f ( x ) ] ± [ d d x g ( x ) ] If the function f is differentiable and h ( x ) = [ f ( x ) ] n ( n , a real number ) , then chain rule for power function is, h ′ ( x ) = d d x [ f ( x ) ] n = n [ f ( x ) ] n − 1 f ′ ( x ) Calculation: Use the formula of chain rule of differentiation for power function to evaluate the derivative of f ( x ) . f ′ ( v ) = [ 3 ( v − 3 + 4 v − 2 ) 3 − 1 d d v ( v − 3 + 4 v − 2 ) ] <

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Chapter 3.3, Problem 26E

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The derivative of the given function.

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Chapter 3.3, Problem 25E

Chapter 3.3, Problem 27E

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Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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The derivative of the given function.

Solution Summary: The author evaluates the derivative of the given function, using the formula of chain rule of differentiation for power function.

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