Explanation Given: The given statement is: “If f and g are differentiable functions, then d d x [ f ( g ( x ) ) ] = f ′ ( g ( x ) ) g ′ ( x ) ” Calculation: According to chain rule of differentiation d d x f [ g ( x ) ] = d d

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Chapter 3, Problem 5TFQ

To determine

To state if the given statement is true or false

“If f and g are differentiable functions, then ddx[f(g(x))]=f′(g(x))g′(x) ”

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Chapter 3, Problem 4TFQ

Chapter 3, Problem 6TFQ

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To state if the given statement is true or false “If f and g are differentiable functions, then d d x [ f ( g ( x ) ) ] = f ′ ( g ( x ) ) g ′ ( x ) ”

Solution Summary: The author states that if f and g are differentiable functions, then the given statement is true.

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To state if the given statement is true or false

“If f and g are differentiable functions, then ddx[f(g(x))]=f′(g(x))g′(x) ”

Want to see the full answer?

Chapter 3 Solutions

To state if the given statement is true or false “If f and g are differentiable functions, then d d x [ f ( g ( x ) ) ] = f ′ ( g ( x ) ) g ′ ( x ) ”

Solution Summary: The author states that if f and g are differentiable functions, then the given statement is true.

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To state if the given statement is true or false “If f and g are differentiable functions, then ddx[f(g(x))]=f′(g(x))g′(x) ”

Want to see the full answer?

Chapter 3 Solutions

To state if the given statement is true or false

“If f and g are differentiable functions, then ddx[f(g(x))]=f′(g(x))g′(x) ”