Solve x^3(x^2*3^4/n)

$$x ^ { 3 } ( \frac { x ^ { 2 } \times 3 ^ { 4 } } { n } )$$

Evaluate

$$\frac{81x^{5}}{n}$$

Solution Steps

Calculate 3 to the power of 4 and get 81.

$$x^{3}\times \frac{x^{2}\times 81}{n}$$

Express x^{3}\times \frac{x^{2}\times 81}{n} as a single fraction.

$$\frac{x^{3}x^{2}\times 81}{n}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{x^{5}\times 81}{n}$$

Differentiate w.r.t. x

$$\frac{405x^{4}}{n}$$