Suppose w=xy+yzw=xy+yz, where x=e2t, y=2+sin(4t)x=e2t, y=2+sin⁡(4t), and z=2+cos(5t)z=2+cos⁡(5t). a. use the chain rule to find dwdtdwdt as a function of x, y, z, and t. do not rewrite x, y, and z in terms of t, and do not rewrite e2te2t as x.

The chain rule is one of the techniques to take the derivative of an expression.

The value of the differentiation is:

The given parameters are:

Expand

Differentiate w with respect to t using chain rule.

So, we have:

Differentiate x, y and z with respect to t

Substitute these values in the equation of w'

Hence,

Read more about chain rule at:

link

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.