Solve f(5*10*(+4)

$$f ( 5 \cdot 10 \cdot ( + 4 )$$

Evaluate

$$200f$$

Solution Steps

Multiply 5 and 10 to get 50.

$$f\times 50\times 4$$

Multiply 50 and 4 to get 200.

$$f\times 200$$

Differentiate w.r.t. f

$$200$$

Steps Using Definition of a Derivative

Multiply 5 and 10 to get 50.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times 50\times 4)$$

Multiply 50 and 4 to get 200.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times 200)$$

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

$$200f^{1-1}$$

Subtract 1 from 1.

$$200f^{0}$$

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

$$200\times 1$$

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

$$200$$