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

7325 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you find the coordinates of stationary points on a graph?


Find the inverse of f(x) = (3x - 6)/2


Differentiate x^5 + 3x^2 - 17 with respect to x


Express the following as a partial fraction: (4x^2+12x+9) / (x^2+3x+2) .


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