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: 9781119275565

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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Question

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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Chapter 3 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

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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

Videos

To differentiate: f(x)=Aex−Bx2+C.

Want to see the full answer?

Chapter 3 Solutions

To differentiate:

f(x)=Aex−Bx2+C.