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

4534 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The function f is defined by f(x)= 2/(x-3) + x - 6 . Determine the coordinates of the points where the graph of f intersects the coordinate axes.


Given f(x) = 3 - 5x + x^3, how can I show that f(x) = 0 has a root (x=a) in the interval 1<a<2?


Derive the following with respect to x1: y=(x1*x2)/(x1+x2).


Evaluate the integral (write on whiteboard, too complicated to write here)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences