Category: Maths MCQs Class 12

Maths MCQs questions with answers of class 12 or second year. HSSC Part-II Maths multiple choice questions from past papers.

d/dx Sin2^x = ?

d/dx Sin2x = ?

(A) Cos 2x
(B) Sin2x
(C) -Cos 2x
(D) -Sin2x

Answer: (B) Sin2x

Derivative of 2^2x w.r.t x is :

22x w.r.t x is :

(A) 2x 22x-1
(B) 22x X ln 2
(C) 4x ln 4
(D) ln 2 . 22x+1

Answer: (B) 22x X ln 2

Solution:

y=2^{2x}

As we know that, if 

y=a^x

 then 

\frac{dy}{dy}=a^x\frac{d}{dx}(x)lna
\frac{dy}{dy}=2^{2x}\frac{d}{dx}(2x)ln2
\frac{dy}{dy}=2^{2x}(2)ln2
\frac{dy}{dy}=2^{2x+1}ln2
\frac{dy}{dy}=ln2.2^{2x+1}