Assume that

x equals x left parenthesis t right parenthesisx=x(t)

and

y equals y left parenthesis t right parenthesisy=y(t).

Let

y equals x cubed plus 1y=x3+1

and

StartFraction dx Over dt EndFractiondxdt=33

when

xequals=22.

Find

StartFraction dy Over dt EndFractiondydt

when

xequals=2

StartFraction dy Over dt EndFractiondydtequals=

The value of is

Explanation:

It is given that and

Also, given that and when

Now, we need to determine the value of when

To determine the value of when , we need to differentiate the function with respect to

Thus, we have,

Simplifying, we get,

Substituting and , we get,

Squaring the term, we have,

Multiplying the terms, we get,

Thus, the value of is

12.5 feet

step-by-step explanation:

but there’s no any figure there!