Solve 05+75x

$$05+75x$$

Evaluate

$$75x$$

Solution Steps

Multiply 0 and 5 to get 0.

$$0+75x$$

Anything plus zero gives itself.

$$75x$$

Differentiate w.r.t. x

$$75$$

Steps Using Definition of a Derivative

Multiply 0 and 5 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0+75x)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(75x)$$

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

$$75x^{1-1}$$

Subtract 1 from 1.

$$75x^{0}$$

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

$$75\times 1$$

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

$$75$$