Solve -abx*(-1/3a^2b^2x^2)

$$- a b x \cdot ( - \frac { 1 } { 3 } a ^ { 2 } b ^ { 2 } x ^ { 2 } )$$

Evaluate

$$\frac{\left(abx\right)^{3}}{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\left(-a\right)b^{3}x\left(-\frac{1}{3}\right)a^{2}x^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\left(-a\right)b^{3}x^{3}\left(-\frac{1}{3}\right)a^{2}$$

Multiply -1 and -\frac{1}{3} to get \frac{1}{3}.

$$\frac{1}{3}ab^{3}x^{3}a^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{1}{3}a^{3}b^{3}x^{3}$$

Differentiate w.r.t. x

$$x^{2}\left(ab\right)^{3}$$