Solve 3*216a^2*5

$$3 \cdot 216 a ^ { 2 } \times 5$$

Evaluate

$$3240a^{2}$$

Solution Steps

Multiply 3 and 216 to get 648.

$$648a^{2}\times 5$$

Multiply 648 and 5 to get 3240.

$$3240a^{2}$$

Differentiate w.r.t. a

$$6480a$$

Steps Using Definition of a Derivative

Multiply 3 and 216 to get 648.

$$\frac{\mathrm{d}}{\mathrm{d}a}(648a^{2}\times 5)$$

Multiply 648 and 5 to get 3240.

$$\frac{\mathrm{d}}{\mathrm{d}a}(3240a^{2})$$

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

$$2\times 3240a^{2-1}$$

Multiply 2 times 3240.

$$6480a^{2-1}$$

Subtract 1 from 2.

$$6480a^{1}$$

For any term t, t^{1}=t.

$$6480a$$