Solve (21f(2))

$$( 21 f ( 2 ) )$$

Differentiate w.r.t. f

$$42$$

Steps Using Definition of a Derivative

Multiply 21 and 2 to get 42.

$$\frac{\mathrm{d}}{\mathrm{d}f}(42f)$$

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

$$42f^{1-1}$$

Subtract 1 from 1.

$$42f^{0}$$

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

$$42\times 1$$

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

$$42$$

Evaluate

$$42f$$

Solution Steps

Multiply 21 and 2 to get 42.

$$42f$$