Solve 13y^2+8-4y^2+3

$$13 y ^ { 2 } + 8 - 4 y ^ { 2 } + 3$$

Evaluate

$$9y^{2}+11$$

Solution Steps

Combine 13y^{2} and -4y^{2} to get 9y^{2}.

$$9y^{2}+8+3$$

Add 8 and 3 to get 11.

$$9y^{2}+11$$

Differentiate w.r.t. y

$$18y$$

Steps Using Derivative Rule for Sum

Combine 13y^{2} and -4y^{2} to get 9y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(9y^{2}+8+3)$$

Add 8 and 3 to get 11.

$$\frac{\mathrm{d}}{\mathrm{d}y}(9y^{2}+11)$$

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}.

$$2\times 9y^{2-1}$$

Multiply 2 times 9.

$$18y^{2-1}$$

Subtract 1 from 2.

$$18y^{1}$$

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

$$18y$$