1.

Given y=f(u) and u=g(x).y=cos u and u=-x/3.find dy/dx

Answer»

Given:

Given y=f(u) and u=g(X).y=cos u and u=-x/3.

To find:

Given y=f(u) and u=g(x).y=cos u and u=-x/3. Find dy/dx

Solution:

From given, we have,

y = f(u)

y = cos u

dy/du = - SIN u

u = g(x)

u=-x/3

du/dx = -1/3

dy/dx = dy/du × du/dx

= -sin u × (-1/3)

∴ dy/dx = sin u/3


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