Solve 20div5/3x

$$20 \div 5 / 3 x$$

Evaluate

$$12x$$

Solution Steps

Divide 20 by \frac{5}{3} by multiplying 20 by the reciprocal of \frac{5}{3}.

$$20\times \frac{3}{5}x$$

Express 20\times \frac{3}{5} as a single fraction.

$$\frac{20\times 3}{5}x$$

Multiply 20 and 3 to get 60.

$$\frac{60}{5}x$$

Divide 60 by 5 to get 12.

$$12x$$

Differentiate w.r.t. x

$$12$$

Steps Using Definition of a Derivative

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

$$12x^{1-1}$$

Subtract 1 from 1.

$$12x^{0}$$

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

$$12\times 1$$

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

$$12$$