Solve -5y^3+2y-17

$$- 5 y ^ { 3 } + 2 y - 17$$

Differentiate w.r.t. y

$$2-15y^{2}$$

Steps Using Derivative Rule for Sum

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}.

$$3\left(-5\right)y^{3-1}+2y^{1-1}$$

Multiply 3 times -5.

$$-15y^{3-1}+2y^{1-1}$$

Subtract 1 from 3.

$$-15y^{2}+2y^{1-1}$$

Subtract 1 from 1.

$$-15y^{2}+2y^{0}$$

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

$$-15y^{2}+2\times 1$$

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

$$-15y^{2}+2$$

Evaluate

$$-5y^{3}+2y-17$$