Solve 4y^3-2y^2+3)

$$4 y ^ { 3 } - 2 y ^ { 2 } + 3 )$$

Differentiate w.r.t. y

$$4y\left(3y-1\right)$$

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}.

$$3\times 4y^{3-1}+2\left(-2\right)y^{2-1}$$

Multiply 3 times 4.

$$12y^{3-1}+2\left(-2\right)y^{2-1}$$

Subtract 1 from 3.

$$12y^{2}+2\left(-2\right)y^{2-1}$$

Multiply 2 times -2.

$$12y^{2}-4y^{2-1}$$

Subtract 1 from 2.

$$12y^{2}-4y^{1}$$

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

$$12y^{2}-4y$$

Evaluate

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