If y = exp(x^2), find dy/dx

Recall that the derivative of exp(x) is exp(x), but notice this question is slightly more complex due to the x^2 term. This is example of differentiationg composite functions, and so the chain rule is required. To begin, we'll set u = x^2, and then compute du/dx = 2x. Furthermore, we observe that y = exp(u) and dy/du = exp(u). Then, by the chain rule, we have dy/dx = dy/du * du/dx = exp(u) * 2x = exp(x^2) * 2x.

Answered by Stuart B. Maths tutor

7489 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve x^3+2*x^2-5*x-6=0


If x is a real number, what are the solutions to the quadratic: 4*x^2- 4*x+1 = 0


A) Differentiate ln(x) b) integrate ln(x)


Find the tangent to the curve y = x^2 + 3x + 2 that passes through the point (-1,0), sketch the curve and the tangent.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences