Differentiating exponential functions in exercise, find the derivative of the function. see example 2 and 3.
y = 4x3e - x

The derivative would be

Step-by-step explanation:

Since we have given that

We need to find the derivative of the function:

We will use "Product rule"

f'(x)= derivative of first function × second function + derivative of second function × first function.

As we know that

Now, we will get that

Hence, the derivative would be

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

the answer is $42.96

step-by-step explanation: