Solve -252x^3+27x^2+1

$$- 252 x ^ { 3 } + 27 x ^ { 2 } + 1$$

Differentiate w.r.t. x

$$54x\left(1-14x\right)$$

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}.

$$3\left(-252\right)x^{3-1}+2\times 27x^{2-1}$$

Multiply 3 times -252.

$$-756x^{3-1}+2\times 27x^{2-1}$$

Subtract 1 from 3.

$$-756x^{2}+2\times 27x^{2-1}$$

Multiply 2 times 27.

$$-756x^{2}+54x^{2-1}$$

Subtract 1 from 2.

$$-756x^{2}+54x^{1}$$

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

$$-756x^{2}+54x$$

Evaluate

$$1+27x^{2}-252x^{3}$$