Solve 6f*3-10fdiv5

$$6 f \times 3 - 10 f \div 5$$

Evaluate

$$16f$$

Solution Steps

Multiply 6 and 3 to get 18.

$$18f-\frac{10f}{5}$$

Divide 10f by 5 to get 2f.

$$18f-2f$$

Combine 18f and -2f to get 16f.

$$16f$$

Differentiate w.r.t. f

$$16$$

Steps Using Definition of a Derivative

Multiply 6 and 3 to get 18.

$$\frac{\mathrm{d}}{\mathrm{d}f}(18f-\frac{10f}{5})$$

Divide 10f by 5 to get 2f.

$$\frac{\mathrm{d}}{\mathrm{d}f}(18f-2f)$$

Combine 18f and -2f to get 16f.

$$\frac{\mathrm{d}}{\mathrm{d}f}(16f)$$

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

$$16f^{1-1}$$

Subtract 1 from 1.

$$16f^{0}$$

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

$$16\times 1$$

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

$$16$$