Explanation Given: f ( x ) = A e x − B x 2 + C Formula used: d d x ( e x ) = e x d d x ( x n ) = n x n − 1 d d x ( c o n s t a n t ) = 0 Calculation: Differentiate the given function with respect to x. f ′ ( x ) = d d x ( A e x − B x 2 + C ) ............ (1) We know that, d d x ( e x ) = e x d d x ( x n )

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 3.2, Problem 22P

To determine

To differentiate:

f(x)=Aex−Bx2+C.

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Chapter 3.2, Problem 21P

Chapter 3.2, Problem 23P

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To differentiate: f ( x ) = A e x − B x 2 + C .

Solution Summary: The author explains the differentiation of the given function with respect to x.

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To differentiate:

f(x)=Aex−Bx2+C.

Want to see the full answer?

Chapter 3 Solutions

To differentiate: f ( x ) = A e x − B x 2 + C .

Solution Summary: The author explains the differentiation of the given function with respect to x.

Concept explainers

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To differentiate: f(x)=Aex−Bx2+C.

Want to see the full answer?

Chapter 3 Solutions

To differentiate:

f(x)=Aex−Bx2+C.