Question

Q9
Find out the value of derivative of (5 + 2x)/x with respect to "x" at x = 1.
Ops: A. 04

B.-3
C.-7


D.7
​

Answer 1

Answer:

D) 7

Step-by-step explanation:

$\frac{(5 + 2x)}{x}$

$= \frac{(5 + 2 \times 1)}{1}$

$= 5 + 2$

$= 7(d)$

Answer 2

Answer: The value of derivative of (5 + 2x)/x with respect to x at x = 1 be, -5.

Given a function (5 + 2x)/x

the derivative of the given function is to be found with respect to x at x = 1.

let f(x) = (5 + 2x)/x

on applying the quotient rule while differentiating the function,

f'(x) = ((5 + 2x)'x - (5 + 2x)x')/x²

f'(x) = (2 - (5 + 2x))/x²

f'(x) = (- 3 - 2x)/x²

f'(1) = (-5)/1²

f'(1) = -5

The value of derivative of (5 + 2x)/x with respect to x at x = 1 be, -5.

To conclude in one sentence, the value of derivative of (5 + 2x)/x with respect to x at x = 1 be, -5.

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