Question

Find derivative of tan(x+4).

(a) sec^2(x+4)

(b) 4 sec^2(x+4)

(c) 4x sec^2(x+4)

(d) sec^2(x)

I had been asked this question in examination.

The above asked question is from Differentiability in chapter Continuity and Differentiability of Mathematics – Class 12

Answer 1

Right answer is (a) sec^2(x+4)

Explanation: We know that derivative of tanx is sec^2(x), now in the above question we get tan(x+4), hence its derivative comes out to be sec^2(x+4), as the inside expression (x+4) is differentiated into 1.

Therefore the answer is sec^2(x+4).