Find the gradient of the curve y=sin(x^2) + e^(x) at the point x= sqrt(pi)

y=sin(x2) + ex Firstly we need to differentiate. dy/dx = 2xcos(x2) + ex using the chain rule Notice the gradient at x = sqrt(pi) is found when we sub x into dy/dx Hence dy/dx = 2*sqrt(pi)cos( sqrt(pi)2) + esqrt(pi) = esqrt(pi) - 2sqrt(pi)

JR
Answered by Jordan R. Maths tutor

7115 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate: tan(2x) cos(x)


Find the coefficient of the x^2 term in in the expansion of (1+x)^4.


How to factorise 6x^2-11x-10?


Line AB has the equation 3x + 5y = 7. Find the gradient of Line AB.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning