Solve 9x^3-30x^2+25

$$9 { x }^{ 3 } -30 { x }^{ 2 } +25$$

Differentiate w.r.t. x

$$3x\left(9x-20\right)$$

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}.

$$3\times 9x^{3-1}+2\left(-30\right)x^{2-1}$$

Multiply 3 times 9.

$$27x^{3-1}+2\left(-30\right)x^{2-1}$$

Subtract 1 from 3.

$$27x^{2}+2\left(-30\right)x^{2-1}$$

Multiply 2 times -30.

$$27x^{2}-60x^{2-1}$$

Subtract 1 from 2.

$$27x^{2}-60x^{1}$$

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

$$27x^{2}-60x$$

Evaluate

$$9x^{3}-30x^{2}+25$$