Solve 2y^2-250y+7955

$$2 { y }^{ 2 } -250y+7955$$

Differentiate w.r.t. y

$$4y-250$$

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}.

$$2\times 2y^{2-1}-250y^{1-1}$$

Multiply 2 times 2.

$$4y^{2-1}-250y^{1-1}$$

Subtract 1 from 2.

$$4y^{1}-250y^{1-1}$$

Subtract 1 from 1.

$$4y^{1}-250y^{0}$$

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

$$4y-250y^{0}$$

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

$$4y-250$$

Evaluate

$$2y^{2}-250y+7955$$