Solve 2x^3*x^10

$$2 x ^ { 3 } \times x ^ { 10 }$$

Differentiate w.r.t. x

$$26x^{12}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 3 and 10 to get 13.

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

The derivative of ax^{n} is nax^{n-1}.

$$13\times 2x^{13-1}$$

Multiply 13 times 2.

$$26x^{13-1}$$

Subtract 1 from 13.

$$26x^{12}$$

Evaluate

$$2x^{13}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 10 to get 13.

$$2x^{13}$$