Solve f(1.1)quad8(3.5)

$$f ( 1.1 ) \quad 8 ( 3.5 )$$

Evaluate

$$\frac{154f}{5}$$

Solution Steps

Multiply 1.1 and 8 to get 8.8.

$$f\times 8.8\times 3.5$$

Multiply 8.8 and 3.5 to get 30.8.

$$f\times 30.8$$

Differentiate w.r.t. f

$$30.8$$

Steps Using Definition of a Derivative

Multiply 1.1 and 8 to get 8.8.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times 8.8\times 3.5)$$

Multiply 8.8 and 3.5 to get 30.8.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times 30.8)$$

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

$$30.8f^{1-1}$$

Subtract 1 from 1.

$$30.8f^{0}$$

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

$$30.8\times 1$$

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

$$30.8$$