Solve -2y^2+7y-6-134=

$$- 2 y ^ { 2 } + 7 y - 6 - 134 =$$

Differentiate w.r.t. y

$$7-4y$$

Steps Using Derivative Rule for Sum

Subtract 134 from -6 to get -140.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-2y^{2}+7y-140)$$

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}.

$$2\left(-2\right)y^{2-1}+7y^{1-1}$$

Multiply 2 times -2.

$$-4y^{2-1}+7y^{1-1}$$

Subtract 1 from 2.

$$-4y^{1}+7y^{1-1}$$

Subtract 1 from 1.

$$-4y^{1}+7y^{0}$$

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

$$-4y+7y^{0}$$

For any term t except 0, t^{0}=1.

$$-4y+7\times 1$$

For any term t, t\times 1=t and 1t=t.

$$-4y+7$$

Evaluate

$$-2y^{2}+7y-140$$

Solution Steps

Subtract 134 from -6 to get -140.

$$-2y^{2}+7y-140$$