Solve 3x^213x-2=

$$3 { x }^{ 2 } 13x-2=$$

Evaluate

$$39x^{3}-2$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3x^{3}\times 13-2$$

Multiply 3 and 13 to get 39.

$$39x^{3}-2$$

Differentiate w.r.t. x

$$117x^{2}$$

Steps Using Derivative Rule for Sum

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{3}\times 13-2)$$

Multiply 3 and 13 to get 39.

$$\frac{\mathrm{d}}{\mathrm{d}x}(39x^{3}-2)$$

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}.

$$3\times 39x^{3-1}$$

Multiply 3 times 39.

$$117x^{3-1}$$

Subtract 1 from 3.

$$117x^{2}$$