Solve 26x^15*13x^13

$$26 x ^ { 15 } \cdot 13 x ^ { 13 }$$

Evaluate

$$338x^{28}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 15 and 13 to get 28.

$$26x^{28}\times 13$$

Multiply 26 and 13 to get 338.

$$338x^{28}$$

Differentiate w.r.t. x

$$9464x^{27}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 15 and 13 to get 28.

$$\frac{\mathrm{d}}{\mathrm{d}x}(26x^{28}\times 13)$$

Multiply 26 and 13 to get 338.

$$\frac{\mathrm{d}}{\mathrm{d}x}(338x^{28})$$

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

$$28\times 338x^{28-1}$$

Multiply 28 times 338.

$$9464x^{28-1}$$

Subtract 1 from 28.

$$9464x^{27}$$