Answer:
<h3>The value of
is
</h3><h3>The value of
is
</h3><h3>The partial derivative at s=-5 and t=10 is
is
</h3><h3>The partial derivative at s=-5 and t=10 is
</h3>
Step-by-step explanation:
Given that the Function point are
, and s = -5, t = 10
<h3>To find
and
using the appropriate Chain Rule :
</h3>
Substitute the values of x and y in the above equation we get
<h3>Now partially differentiating w with respect to s by using chain rule we have
</h3>
<h3>Therefore the value of
is
</h3>
<h3>Now partially differentiating w with respect to t by using chain rule we have
</h3>
<h3>Therefore the value of
is
</h3>
Now put s-5 and t=10 to evaluate each partial derivative at the given values of s and t :
<h3>Therefore the partial derivative at s=-5 and t=10 is
is
</h3>
<h3>Therefore the partial derivative at s=-5 and t=10 is
</h3>