Solve 6-2y^2-9y^2

$$6 - 2 y ^ { 2 } - 9 y ^ { 2 }$$

Differentiate w.r.t. y

$$-22y$$

Steps Using Derivative Rule for Sum

Combine -2y^{2} and -9y^{2} to get -11y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(6-11y^{2})$$

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}.

$$2\left(-11\right)y^{2-1}$$

Multiply 2 times -11.

$$-22y^{2-1}$$

Subtract 1 from 2.

$$-22y^{1}$$

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

$$-22y$$

Evaluate

$$6-11y^{2}$$

Solution Steps

Combine -2y^{2} and -9y^{2} to get -11y^{2}.

$$6-11y^{2}$$