Q. 14 Given that f,聽g,聽h聽are functi... [FREE SOLUTION]

Chapter 2: Q. 14 (page 197)

Given that $f, g, h$ are functions with values $f (2) = 1, g (2) = - 4, h (2) = 3$ and point -derivatives $f' (2) = 3, g' (2) = 0, h' (2) = - 1$ Calculate
$(\frac{f}{g})' (2)$

Short Answer

Expert verified

The answer is $(\frac{f}{g})' (2) = - \frac{3}{4}$

Step by step solution

Given information

We are given that $f, g, h$ are functions with values $f (2) = 1, g (2) = - 4, h (2) = 3$ and point -derivatives $f' (2) = 3, g' (2) = 0, h' (2) = - 1$

Calculate

We are given $(\frac{f}{g})' (2)$

Which can be simplified as

$\frac{g (2) f' (2) - f (2) g' (2)}{{[g (2)]}^{2}} = \frac{(- 4) (3) - 0}{16} = - \frac{3}{4}$

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91影视

Given that $f, g, h$ are functions with values $f (2) = 1, g (2) = - 4, h (2) = 3$ and point -derivatives $f' (2) = 3, g' (2) = 0, h' (2) = - 1$ Calculate
$(\frac{f}{g})' (2)$

Short Answer

Step by step solution

Given information

Calculate

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91影视

Given that f,g,hare functions with values f(2)=1,g(2)=-4,h(2)=3and point -derivatives f'(2)=3,g'(2)=0,h'(2)=-1Calculate(fg)'(2)

Short Answer

Step by step solution

Given information

Calculate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Calculus

Logic and Functions

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Given that $f, g, h$ are functions with values $f (2) = 1, g (2) = - 4, h (2) = 3$ and point -derivatives $f' (2) = 3, g' (2) = 0, h' (2) = - 1$ Calculate
$(\frac{f}{g})' (2)$