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Home / Aptitude Tests / Mathematics / \(\frac{d}{dx} [\log...
ddx[log(4x32x)] is equal to...

ddx[log(4x32x)] is equal to

A.

12x24x2

B.

43x22x7x

C.

4x227x+6

D.

12x224x32x

Correct answer is D

ddx[log(4x32x)] ... (1)

Let u = 4x3 - 2x.

ddx(log(4x32x))=(ddu)(dudx)

ddu(logu) = 1u

dudx=12x22

= \frac{12x^2 - 2}{4x^3 - 2x}