Solve 8xdiv(-4/7)

$$8 x \div ( - \frac { 4 } { 7 } )$$

Evaluate

$$-14x$$

Solution Steps

Divide 8x by -\frac{4}{7} by multiplying 8x by the reciprocal of -\frac{4}{7}.

$$\frac{8x\times 7}{-4}$$

Multiply 8 and 7 to get 56.

$$\frac{56x}{-4}$$

Divide 56x by -4 to get -14x.

$$-14x$$

Differentiate w.r.t. x

$$-14$$

Steps Using Definition of a Derivative

Divide 8x by -\frac{4}{7} by multiplying 8x by the reciprocal of -\frac{4}{7}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8x\times 7}{-4})$$

Multiply 8 and 7 to get 56.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{56x}{-4})$$

Divide 56x by -4 to get -14x.

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

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

$$-14x^{1-1}$$

Subtract 1 from 1.

$$-14x^{0}$$

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

$$-14$$