A curve has the equation y=7-2x^5, find dy/dx of this curve

When you differentiate with respect to x, dy/dx, you multiply the number in front of the x by the power of the x then you take one away from the power.So for this example, the 2x5 differentiates to:(2x5)x(5-1) which is equal to 10x4.When you differentiate a number (which is not involving x) the number disappears. So for this example, the 7 (= 7x0) differentiates to:(7x0)x(0-1) which is equal to 0.So overall, dy/dx=-10x4

EC
Answered by Emily C. Maths tutor

4787 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Can you differentiate the following function using two methods:- y = e^(2x+1)


Find the equation of the tangent to the unit circle when x=sqrt(3)/2 (in the first quadrant)


Using substitution, integrate x(2 + x))^1/2 where u^2 = 2 + x


How do you integrate ln(x) with respect to x?


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:

© 2025 by IXL Learning