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

4567 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A stationary point of inflection implies a second derivative of 0, does this work the other way around?


integrate (4cos^4 x -4cos^2x+1)^1/2


Differentiate the equation y = (1+x^2)^3 with respect to (w.r.t.) x using the chain rule. (Find dy/dx)


Find the equation of the tangent to the curve y = (2x -3)^3 at the point (1, - 1), giving your answer in the form y = mx + c.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences