Solve 16x^2x^4

$$16 x ^ { 2 } x ^ { 4 }$$

Differentiate w.r.t. x

$$96x^{5}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x^{6})$$

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

$$6\times 16x^{6-1}$$

Multiply 6 times 16.

$$96x^{6-1}$$

Subtract 1 from 6.

$$96x^{5}$$

Evaluate

$$16x^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

$$16x^{6}$$