Question

$\sf\implies\: y\:=\:(2x+1)^5,\: then\: {d_{y}}/{d_{x}}$

Answer 1

Answer:

We use chain rule to differentiate the given equation.

Step 1: Differentiate the outer part of the equation

⇒ ( 2x + 1 )⁵ = 5 ( 2x + 1 )⁴

Step 2: Now differentiate the inside part of equation

⇒  ( 2x + 1 ) = 2 + 0 = 2

Now we must multiply these two equations to get the final differentiated equation.

⇒ 5 ( 2x + 1 )⁴ × 2 = 10 ( 2x + 1 )⁴

Hence the differentiated equation is 10 ( 2x + 1 )⁴

Hope it helped !!