Differentiate the following with respect to x:
ex log a + ea log x + ea log a
Given,
f(x) = ex log a + ea log x + ea log a
⇒ f(x) =
We know that, elog f(x) = f(x)
∴ f(x) = ax + xa + aa
we need to find f’(x), so differentiating both sides with respect to x –
∴
Using algebra of derivatives –
⇒ f’(x) =
Use the formula:
∴ f’(x) = ax loge a – axa – 1 + 0
⇒ f’(x) = ax loge a – axa – 1