Solve 3x^12*17x^3div40x^2

$$3 { x }^{ 12 } \times 17 { x }^{ 3 } \div 40 { x }^{ 2 }$$

Evaluate

$$\frac{51x^{17}}{40}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 12 and 3 to get 15.

$$\frac{3x^{15}\times 17}{40}x^{2}$$

Multiply 3 and 17 to get 51.

$$\frac{51x^{15}}{40}x^{2}$$

Express \frac{51x^{15}}{40}x^{2} as a single fraction.

$$\frac{51x^{15}x^{2}}{40}$$

To multiply powers of the same base, add their exponents. Add 15 and 2 to get 17.

$$\frac{51x^{17}}{40}$$

Differentiate w.r.t. x

$$\frac{867x^{16}}{40}$$