Solve 2f(-1)+3f(1

$$2 f ( - 1 ) + 3 f ( 1$$

Evaluate

$$f$$

Solution Steps

Multiply 2 and -1 to get -2.

$$-2f+3f\times 1$$

Multiply 3 and 1 to get 3.

$$-2f+3f$$

Combine -2f and 3f to get f.

$$f$$

Differentiate w.r.t. f

$$1$$

Steps Using Definition of a Derivative

Multiply 2 and -1 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}f}(-2f+3f\times 1)$$

Multiply 3 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}f}(-2f+3f)$$

Combine -2f and 3f to get f.

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

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

$$f^{1-1}$$

Subtract 1 from 1.

$$f^{0}$$

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

$$1$$