Solve y^2+16y^2+64

$${ y }^{ 2 } +16 { y }^{ 2 } +64$$

Differentiate w.r.t. y

$$34y$$

Steps Using Derivative Rule for Sum

Combine y^{2} and 16y^{2} to get 17y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(17y^{2}+64)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2\times 17y^{2-1}$$

Multiply 2 times 17.

$$34y^{2-1}$$

Subtract 1 from 2.

$$34y^{1}$$

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

$$34y$$

Evaluate

$$17y^{2}+64$$

Solution Steps

Combine y^{2} and 16y^{2} to get 17y^{2}.

$$17y^{2}+64$$