Solve 2^2-4+5x=

$$2 ^ { 2 } - 4 + 5 x =$$

Evaluate

$$5x$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4-4+5x$$

Subtract 4 from 4 to get 0.

$$5x$$

Differentiate w.r.t. x

$$5$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4-4+5x)$$

Subtract 4 from 4 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x)$$

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

$$5x^{1-1}$$

Subtract 1 from 1.

$$5x^{0}$$

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

$$5\times 1$$

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

$$5$$