Q7 of 354 Page 11

Choose the correct alternative in the following:
If x^y = e^x–y, then is

x^y = e^x–y

Taking log both sides we get

log x^y = log e^x–y

y log x = (x-y) loge

y log x = (x-y) ∵ loge = 1

Differentiating w.r.t x we get,

Choose the correct alternative in the following:

If f(x) = tan^–1 0 ≤ x ≤ π/2, then f’ (π/6) is

Choose the correct alternative in the following:

Given f(x) = 4x⁸, then

Choose the correct alternative in the following:

If x = a cos³ θ, y = a sin³ θ, then

Choose the correct alternative in the following:If xy = ex–y, then is