Question

Y=(2X+1)^5 differentiate

Answer 1

Answer:

$\displaystyle \sf \longrightarrow 10.\left( 2 x+1 \right)^{4}$

Step-by-step explanation:

Given :

$\displaystyle \sf y = \left( 2 x+1 \right)^5$

We are asked to find y' :

Diff. w.r.t x :

Applying power rule and chain rule here we get :

$\displaystyle \sf \longrightarrow y' = 5\left( 2 x+1 \right)^{5-1}.\left( 2 x+1 \right)'$

$\displaystyle \sf \longrightarrow y' = 5\left( 2 x+1 \right)^{4}.\left( 2 x+1 \right)'$

$\displaystyle \sf \longrightarrow y' = 5\left( 2 x+1 \right)^{4}.\left( 2+0 \right)$

$\displaystyle \sf \longrightarrow y' = 5\left( 2 x+1 \right)^{4}.\left( 2 \right)$

$\displaystyle \sf \longrightarrow y' = 10.\left( 2 x+1 \right)^{4}$

Hence we get required answer!