Solve 3a^2*4bdiv(-2ab)

$$3 a ^ { 2 } \times 4 b \div ( - 2 a b )$$

Evaluate

$$-6a$$

Solution Steps

Cancel out 2ab in both numerator and denominator.

$$\frac{2\times 3a}{-1}$$

Multiply 2 and 3 to get 6.

$$\frac{6a}{-1}$$

Anything divided by -1 gives its opposite.

$$-6a$$

Differentiate w.r.t. a

$$-6$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{12b}{-2b}a^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-6a^{1})$$

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}.

$$-6a^{1-1}$$

Do the arithmetic.

$$-6a^{0}$$

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

$$-6$$