Q47 of 354 Page 12

Differentiate with respect to x.

Put 6^x = tanθ

Now,

y = sin^–1(sin2θ)

y = 2θ

y = 2tan^–1(6^x)

Differentiating w.r.t x, we get

If find .

If then find .

Find in each of the following:

xy = c²