Let u = x2 and v = x3.
u = x2 ----> u is a function of x
v = x3 ----> 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 x2 with respect to x3. 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 = x2, v = x3, ᵈᵘ⁄dₓ = 2x and ᵈⱽ⁄dₓ = 3x2.
Derivative of x2 with respect to x3 is ²⁄₃ₓ.
Kindly mail your feedback to email@example.com
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