Solve 36x^3+26x^2+21

$$36 x ^ { 3 } + 26 x ^ { 2 } + 21$$

Differentiate w.r.t. x

$$4x\left(27x+13\right)$$

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}.

$$3\times 36x^{3-1}+2\times 26x^{2-1}$$

Multiply 3 times 36.

$$108x^{3-1}+2\times 26x^{2-1}$$

Subtract 1 from 3.

$$108x^{2}+2\times 26x^{2-1}$$

Multiply 2 times 26.

$$108x^{2}+52x^{2-1}$$

Subtract 1 from 2.

$$108x^{2}+52x^{1}$$

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

$$108x^{2}+52x$$

Evaluate

$$36x^{3}+26x^{2}+21$$