Solve p(3.2)quadp(5.6)

$$p ( 3.2 ) \quad p ( 5.6 )$$

Evaluate

$$\frac{448p^{2}}{25}$$

Solution Steps

Multiply p and p to get p^{2}.

$$p^{2}\times 3.2\times 5.6$$

Multiply 3.2 and 5.6 to get 17.92.

$$p^{2}\times 17.92$$

Differentiate w.r.t. p

$$\frac{896p}{25}$$

Steps Using Definition of a Derivative

Multiply p and p to get p^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}\times 3.2\times 5.6)$$

Multiply 3.2 and 5.6 to get 17.92.

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}\times 17.92)$$

The derivative of ax^{n} is nax^{n-1}.

$$2\times 17.92p^{2-1}$$

Multiply 2 times 17.92.

$$35.84p^{2-1}$$

Subtract 1 from 2.

$$35.84p^{1}$$

For any term t, t^{1}=t.

$$35.84p$$