Let u = sin2x and v = cos2x.
u = sin2x ----> u is a function of x
v = cos2x ----> v is a function of x
Since both u and v are the functions of x, we can find the derivatives of u and v with resepct to x.
That is, ᵈᵘ⁄dₓ and ᵈⱽ⁄dₓ.
Our aim is to find the derivative of sin2x with respect to cos2x. That is, derivative of u with respect to v.
When both u and v are the functions of x, formula to find the derivative of u with respect to v :
Substitute u = sin2x, v = cos2x, ᵈᵘ⁄dₓ = 2 sinx cosx and ᵈⱽ⁄dₓ = - 2 sinx cosx.
Derivative of sin2x with respect to cos2x is -1.
Kindly mail your feedback to firstname.lastname@example.org
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
May 26, 23 12:27 PM
May 21, 23 07:40 PM
May 20, 23 10:53 PM