Solve 12x^2div(-4/7x)

$$12 x ^ { 2 } \div ( - \frac { 4 } { 7 } x )$$

Evaluate

$$-21x$$

Steps for Quotient of Exponentials

Use the rules of exponents to simplify the expression.

$$\frac{12^{1}x^{2}}{\left(-\frac{4}{7}\right)^{1}x^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{12^{1}x^{2-1}}{\left(-\frac{4}{7}\right)^{1}}$$

Subtract 1 from 2.

$$\frac{12^{1}x^{1}}{\left(-\frac{4}{7}\right)^{1}}$$

Divide 12 by -\frac{4}{7} by multiplying 12 by the reciprocal of -\frac{4}{7}.

$$-21x^{1}$$

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

$$-21x$$

Differentiate w.r.t. x

$$-21$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{-\frac{4}{7}}x^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-21x^{1})$$

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}.

$$-21x^{1-1}$$

Do the arithmetic.

$$-21x^{0}$$

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

$$-21$$