Solve f075+10425+2

$$f 075 + 10425 + 2$$

Differentiate w.r.t. f_0

$$75$$

Steps Using Derivative Rule for Sum

Add 10425 and 2 to get 10427.

$$\frac{\mathrm{d}}{\mathrm{d}f_{0}}(f_{0}\times 75+10427)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$75f_{0}^{1-1}$$

Subtract 1 from 1.

$$75f_{0}^{0}$$

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

$$75\times 1$$

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

$$75$$

Evaluate

$$75f_{0}+10427$$

Solution Steps

Add 10425 and 2 to get 10427.

$$f_{0}\times 75+10427$$