A line has an equation y = e^(2x) - 10e^(x) +12x, find dy/dx

To differentiate this equation, treat it like you would any other equation you are differentiating without exponentials i.e. take each term on it's own and differentiate that individually, then put the answer together at the end.DON'T FORGET: y = eax, dy/dx = aeax1) Take the term e2x and differentiate.y = e2xdy/dx = 2e2x2) Take the term -10ex and differentiate. (Don't forget about the negative!)y = -10exdy/dx = -10ex3) Take the term 12x and differentiate.y = 12xdy/dx = 124) Sum all the components to give the final answer.dy/dx = 2e2x - 10ex +12

SV
Answered by Shruti V. Maths tutor

7218 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

f(x)=(2x+1)/(x-1) with domain x>3. (a)Find the inverse of f(x). (b)Find the range of f(x). (c) g(x)=x+5 for all x. Find the value of x such that fg(x)=3.


b) The tangent to C at P meets the coordinate axes at the points Q and R. Show that the area of the triangle OQR, where O is the origin, is 9/(3-e)


Suppose a population of size x experiences growth at a rate of dx/dt = kx where t is time measured in minutes and k is a constant. At t=0, x=xo. If the population doubles in 5 minutes, how much longer does it take for the population to reach triple of Xo.


If a curve has equation y = (-8/3)x^3 - 2x^2 + 4x + 18, find the two x coordinates of the stationary points of this curve.


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