Solve x-2/3*15

$$x - \frac { 2 } { 3 } \cdot 15$$

Evaluate

$$x-10$$

Solution Steps

Express \frac{2}{3}\times 15 as a single fraction.

$$x-\frac{2\times 15}{3}$$

Multiply 2 and 15 to get 30.

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

Divide 30 by 3 to get 10.

$$x-10$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Express \frac{2}{3}\times 15 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\frac{2\times 15}{3})$$

Multiply 2 and 15 to get 30.

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

Divide 30 by 3 to get 10.

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

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$