Question

digferentiate
d/dx (2x+5)^2​

Answer 1

Correct questions

$\to\sf \: Differentiate \: \: \dfrac{d(2x + 5) {}^{2} }{dx}$

Solution

We have

$\sf \to\dfrac{d(2x + 5) {}^{2} }{dx}$

Now Using Chain Rule , we get

$\sf \to \: 2(2x + 5) ^{2 - 1} \dfrac{d(2x + 5)}{dx}$

$\sf \to \: 2(2x + 5) \times 2$

$\sf \to4(2x + 5) = 8x + 20$

Answer

$\sf \to \: 8x + 20$

Method:- 2

By Simplify the equation

$\sf \to\dfrac{d(2x + 5) {}^{2} }{dx}$

Now Take

$\sf \to \: (2x + 5) {}^{2} = 4 {x}^{2} + 25 + 2 \times 2x \times 5$

$\sf \to \: (2x + 5)^{2} = 4 {x}^{2} + 25 + 20x$

We can write as

$\sf \to \: \dfrac{d(4 {x}^{2} + 20x + 25) }{dx}$

$\sf \to \: 8x + 20$

Answer

$\sf \to \: 8x + 20$