Question

if y = ax + b. then find dy/dx ax = 2 is equal to​

Answer 1

SOLUTION

GIVEN

y = ax + b

TO DETERMINE

$\displaystyle \sf{ \frac{dy}{dx} \: \: \: at \: x = 2 }$

EVALUATION

Here it is given that

y = ax + b

Differentiating both sides with respect to x we get

$\displaystyle \sf{ \frac{dy}{dx} = \frac{d}{dx} (ax) + \frac{d}{dx} (b) }$

$\displaystyle \sf{ \implies \: \frac{dy}{dx} = a\frac{d}{dx} (x) + \frac{d}{dx} (b) }$

$\displaystyle \sf{ \implies \: \frac{dy}{dx} = a }$

Putting x = 2 we get

$\displaystyle \sf{ \implies \: \frac{dy}{dx} \bigg|_{x = 2} = a }$

Hence the required value = a

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Cos^-1(1-9^x/1+9^x) differentiate with respect to x

https://brainly.in/question/17839008

2. total derivative of the function xy is equal to

https://brainly.in/question/14915393