Solve 4a^2*6a

$$4 a ^ { 2 } \times 6 a$$

Evaluate

$$24a^{3}$$

Solution Steps

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

$$4a^{3}\times 6$$

Multiply 4 and 6 to get 24.

$$24a^{3}$$

Differentiate w.r.t. a

$$72a^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(4a^{3}\times 6)$$

Multiply 4 and 6 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}a}(24a^{3})$$

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

$$3\times 24a^{3-1}$$

Multiply 3 times 24.

$$72a^{3-1}$$

Subtract 1 from 3.

$$72a^{2}$$