Chapter 14: Q. 36 (page 906)

Find the derivative of each function at the number indicated using a graphing utility.
$f (x) = 4 x^{4} - 3 x^{3} + 6 x - 9 a t - 2$

Short Answer

Expert verified

The derivative of the function at the number is about $- 158$ .

Step by step solution

Step 1. Given information.

The given function is,

$f (x) = 4 x^{4} - 3 x^{3} + 6 x - 9 a t - 2$

Step 2. Finding the derivative at the given number.

Now we will find the derivative of the given function at the number then we get,

$\frac{d f (x)}{d x} = \frac{d (4 x^{4} - 3 x^{3} + 6 x - 9)}{d x} = \frac{d (4 x^{4})}{d x} + \frac{d (- 3 x^{3})}{d x} + \frac{d (6 x)}{d x} + \frac{d (- 9)}{d x} = 16 x^{3} - 9 x^{2} + 6$

At $- 2$ the derivative will be,

$\frac{d f (x)}{d x} = 16 {(- 2)}^{3} - 9 {(- 2)}^{2} + 6 = 16 (- 8) - 9 (4) + 6 = - 128 - 36 + 6 = - 158$

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Find the derivative of each function at the number indicated using a graphing utility.
$f (x) = 4 x^{4} - 3 x^{3} + 6 x - 9 a t - 2$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the derivative at the given number.

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Find the derivative of each function at the number indicated using a graphing utility.f(x)=4x4-3x3+6x-9at-2

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the derivative at the given number.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Geometry

Probability and Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the derivative of each function at the number indicated using a graphing utility.
$f (x) = 4 x^{4} - 3 x^{3} + 6 x - 9 a t - 2$