Solve 3(c)(+12)^2=

$$3 ( c ) ( + 12 ) ^ { 2 } =$$

Evaluate

$$432c$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$3c\times 144$$

Multiply 3 and 144 to get 432.

$$432c$$

Differentiate w.r.t. c

$$432$$

Steps Using Definition of a Derivative

Calculate 12 to the power of 2 and get 144.

$$\frac{\mathrm{d}}{\mathrm{d}c}(3c\times 144)$$

Multiply 3 and 144 to get 432.

$$\frac{\mathrm{d}}{\mathrm{d}c}(432c)$$

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

$$432c^{1-1}$$

Subtract 1 from 1.

$$432c^{0}$$

For any term t except 0, t^{0}=1.

$$432\times 1$$

For any term t, t\times 1=t and 1t=t.

$$432$$