Solve 2/4x+(-5/7x)

$$\frac { 2 } { 4 } x + ( - \frac { 5 } { 7 } x )$$

Evaluate

$$-\frac{3x}{14}$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}x-\frac{5}{7}x$$

Combine \frac{1}{2}x and -\frac{5}{7}x to get -\frac{3}{14}x.

$$-\frac{3}{14}x$$

Differentiate w.r.t. x

$$-\frac{3}{14} = -0.21428571428571427$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2}x-\frac{5}{7}x)$$

Combine \frac{1}{2}x and -\frac{5}{7}x to get -\frac{3}{14}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{3}{14}x)$$

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

$$-\frac{3}{14}x^{1-1}$$

Subtract 1 from 1.

$$-\frac{3}{14}x^{0}$$

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

$$-\frac{3}{14}$$