Question

differentiate (2x + 3)⁶
I want to check if it's right.. DON'T WRITE SOMETHING ELSE BUT THE ANSWER OR GET REPORTED​

Answer 1

Let ,

y = (2x + 3)⁶

On differentiating with respect to 'x' on both sides , we get ,

$:\implies \sf \dfrac{dy}{dx}=\dfrac{d}{dx}(2x+3)^6$

• $\bf \dfrac{d}{dx}\big(x^n\big)=nx^{n-1}$

• $\bf \dfrac{d}{dx}(u^n)=n*u^{n-1}\times \dfrac{d}{dx}(u)$

where ,

• u is a chain function

$:\implies \sf \dfrac{dy}{dx}=6(2x+3)^5\times \dfrac{d}{dx}(2x+3)$

$:\implies \sf \dfrac{dy}{dx}=6(2x+3)^5\times (2)$

$:\implies \sf \blue{\dfrac{dy}{dx}=12(2x+3)^5}\ \; \bigstar$