Solve 2a^4:2a=

$$2 a ^ { 4 } : 2 a =$$

Evaluate

$$a^{5}$$

Solution Steps

Cancel out 2 and 2.

$$a^{4}a$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$a^{5}$$

Differentiate w.r.t. a

$$5a^{4}$$

Steps Using Definition of a Derivative

Cancel out 2 and 2.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{4}a)$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{5})$$

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

$$5a^{5-1}$$

Subtract 1 from 5.

$$5a^{4}$$