Find ∂w/∂s and ∂w/∂t using the appropriate Chain Rule.

Function Point
w = y3 − 9x2y
x = es, y = et
s = −5, t = 10

Evaluate each partial derivative at the given values of s and t.

Using the Chain Rule, it is found that:

w is a function of x and y, which are functions of s and t, thus, by the Chain Rule:

Then, the derivatives are:

Then

At s = -5 and t = 10:

Then, relative to t:

At s = -5 and t = 10:

A similar problem is given at link

Step-by-step explanation:

Given that the Function point are

,  and s = -5, t = 10

Substitute the values of x and y in the above equation we get

Now put s-5 and t=10 to evaluate each partial derivative at the given values of s and t :

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse