Solve 6x^3u^9*2u^9*3x

$$6 x ^ { 3 } u ^ { 9 } \cdot 2 u ^ { 9 } \cdot 3 x$$

Evaluate

$$36x^{4}u^{18}$$

Solution Steps

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

$$6x^{4}u^{9}\times 2u^{9}\times 3$$

To multiply powers of the same base, add their exponents. Add 9 and 9 to get 18.

$$6x^{4}u^{18}\times 2\times 3$$

Multiply 6 and 2 to get 12.

$$12x^{4}u^{18}\times 3$$

Multiply 12 and 3 to get 36.

$$36x^{4}u^{18}$$

Differentiate w.r.t. x

$$144x^{3}u^{18}$$