Q.41 Use the differentiation rules de... [FREE SOLUTION]

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Chapter 2: Q.41 (page 198)

Use the differentiation rules developed in this section to find
the derivatives of the functions
$f (x) = (x + 2) (x - 1)$

Short Answer

Expert verified

The derivatives of the given function is 2x-1

Step by step solution

Step1. Given information

given function is $f (x) = (x + 2) (x - 1)$

We need to find out the derivatives of the given function.

Step2. finding the derivatives of the function

Here the function is in the form $f (x) = (x + 2) (x - 1)$ .

We can find the derivatives of the given function by using the product rule.localid="1649266551463" $Product Rule : (fg) (x) = \frac{d f (x)}{d x} g (x) + f (x) \frac{d g (x)}{d x}, where f (x) and g (x) are the functions on x So in this question, f (x) = (x + 2) and g (x) = (x - 1) \frac{d f (x)}{d x} = \frac{d (x + 2)}{d x} = \frac{d x}{d x} + \frac{d (2)}{d x} = 1 since dervative of identity of function x, \frac{d x}{d x} = 1 . derivative of constant is o \frac{d g (x)}{d x} = \frac{d (x - 1)}{d x} = \frac{d x}{d x} - \frac{d (1)}{d x} = 1 since dervative of identity of function x, \frac{d x}{d x} = 1 . derivative of constant is o When we applying product rule on the given function we get the derivative \frac{d (x + 2) (x - 1)}{d x} = 1 脳 (x - 1) + (x + 2) 脳 1 = x - 1 + x + 2 = 2 x - 1$

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91影视

Use the differentiation rules developed in this section to find
the derivatives of the functions
$f (x) = (x + 2) (x - 1)$

Short Answer

Step by step solution

Step1. Given information

Step2. finding the derivatives of the function

One App. One Place for Learning.

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91影视

Use the differentiation rules developed in this section to findthe derivatives of the functionsf(x)=(x+2)(x-1)

Short Answer

Step by step solution

Step1. Given information

Step2. finding the derivatives of the function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Theoretical and Mathematical Physics

Applied Mathematics

Geometry

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Use the differentiation rules developed in this section to find
the derivatives of the functions
$f (x) = (x + 2) (x - 1)$