Solve (4x*3)2+4x=

$$( 4 x \cdot 3 ) 2 + 4 x =$$

Evaluate

$$28x$$

Solution Steps

Multiply 4 and 3 to get 12.

$$12x\times 2+4x$$

Multiply 12 and 2 to get 24.

$$24x+4x$$

Combine 24x and 4x to get 28x.

$$28x$$

Differentiate w.r.t. x

$$28$$

Steps Using Definition of a Derivative

Multiply 4 and 3 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x\times 2+4x)$$

Multiply 12 and 2 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x+4x)$$

Combine 24x and 4x to get 28x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(28x)$$

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

$$28x^{1-1}$$

Subtract 1 from 1.

$$28x^{0}$$

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

$$28\times 1$$

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

$$28$$