Solve 7a^2*2a

$$7 a ^ { 2 } \times 2 a$$

Evaluate

$$14a^{3}$$

Solution Steps

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

$$7a^{3}\times 2$$

Multiply 7 and 2 to get 14.

$$14a^{3}$$

Differentiate w.r.t. a

$$42a^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(7a^{3}\times 2)$$

Multiply 7 and 2 to get 14.

$$\frac{\mathrm{d}}{\mathrm{d}a}(14a^{3})$$

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

$$3\times 14a^{3-1}$$

Multiply 3 times 14.

$$42a^{3-1}$$

Subtract 1 from 3.

$$42a^{2}$$