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Chapter 14: Q. 41 (page 897)

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f (x) = e^{x} \sin x$ at $2$

Short Answer

Expert verified

Derivative of $f (x) = e^{x} \sin x$ at $x = 2$ is $f' (2) = 3.6440$

Step by step solution

01

Step 1. Given information

Given function is

$f (x) = e^{x} \sin x$

and $x = 2$

02

Step 2. Derivative

Enter the function $f (x) = e^{x} \sin x$ and $x = 2$ in the derivative function of the graphing calculator

The graphing calculator shows that the derivative of the function is $f' (2) = 3.6440$

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Most popular questions from this chapter

In Problems 7–16, use a table to find the indicated limit.

$14 . \lim_{x \to 0} \frac{e^{x} - e^{- x}}{2}$ .

True or False The limit of a rational function at $5$ equals the value of the rational function at $5$

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.
$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} x - 1 & i f x < 0 \\ 3 x - 1 & i f x \geq 0 \end{cases}$

In Problems 13–32, use the accompanying graph of $y = f (x) .$

Find $f (- 8) a n d f (- 4) .$

In Problems 7– 42, find each limit algebraically

$\lim_{x \to - 2} (5 x)$

See all solutions

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