Chapter 14: Q. 35 (page 897)

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f (x) = \frac{- x^{3} + 1}{x^{2} + 5 x + 7}$ at $8$

Short Answer

Expert verified

Derivative of $f (x) = \frac{- x^{3} + 1}{x^{2} + 5 x + 7}$ at $8$ is $f' (8) \approx - 0.8588$

Step by step solution

Step 1. Given information

Given function is

$f (x) = \frac{- x^{3} + 1}{x^{2} + 5 x + 7}$

and $x = 8$

Step 2. Derivative

Enter the function $f (x) = \frac{- x^{3} + 1}{x^{2} + 5 x + 7}$ and limit $x = 8$ in the derivative function of the graphing calculator

The graphing calculator shows that the derivative of the function is $f' (8) \approx - 0.8588$

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In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f (x) = \frac{- x^{3} + 1}{x^{2} + 5 x + 7}$ at $8$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Derivative

One App. One Place for Learning.

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In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.f(x)=-x3+1x2+5x+7at8

Short Answer

Step by step solution

Step 1. Given information

Step 2. Derivative

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Decision Maths

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f (x) = \frac{- x^{3} + 1}{x^{2} + 5 x + 7}$ at $8$