Solve 4a^3b(-10)ab^2x^2(-1)

$$4 a ^ { 3 } b ( - 10 ) a b ^ { 2 } x ^ { 2 } ( - 1 )$$

Evaluate

$$40x^{2}b^{3}a^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$4a^{4}b\left(-10\right)b^{2}x^{2}\left(-1\right)$$

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

$$4a^{4}b^{3}\left(-10\right)x^{2}\left(-1\right)$$

Multiply 4 and -10 to get -40.

$$-40a^{4}b^{3}x^{2}\left(-1\right)$$

Multiply -40 and -1 to get 40.

$$40a^{4}b^{3}x^{2}$$

Differentiate w.r.t. x

$$80xb^{3}a^{4}$$