Solve 5/3*6x

$$\frac{ 5 }{ 3 } \times 6x$$

Evaluate

$$10x$$

Solution Steps

Express \frac{5}{3}\times 6 as a single fraction.

$$\frac{5\times 6}{3}x$$

Multiply 5 and 6 to get 30.

$$\frac{30}{3}x$$

Divide 30 by 3 to get 10.

$$10x$$

Differentiate w.r.t. x

$$10$$

Steps Using Definition of a Derivative

Express \frac{5}{3}\times 6 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5\times 6}{3}x)$$

Multiply 5 and 6 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{30}{3}x)$$

Divide 30 by 3 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x)$$

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

$$10x^{1-1}$$

Subtract 1 from 1.

$$10x^{0}$$

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

$$10\times 1$$

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

$$10$$