Home › AP EAPCET (Engineering) › Mathematics › Differentiation Rules › If y = e^x, what is the nth derivative of y?
If y = e^x, what is the nth derivative of y?
An e^x
Bn! e^x
Ce^(nx)
De^x
Answer & Solution
Correct answer: D. e^x
The exponential function is its own derivative, so every repeated derivative stays e^x.
Related questions
What is d/dx (x^2 + 1)^5 at x = 0?Find d/dx (sin x cos x).Where is f(x) = |x - 1| not differentiable?For f(x) = x^a with a nonzero constant, what is f'(x)?Find d/dx (2^(3x)).Find d/dx (e^x / x) for x not equal to 0.Differentiate x ln x for x > 0.The derivative of a function at a point gives what geometric quantity?