Solve 15x^3110*6,625

$$15 x ^ { 31 } 10 \times 6,625$$

Evaluate

$$993750x^{31}$$

Solution Steps

Multiply 15 and 10 to get 150.

$$150x^{31}\times 6625$$

Multiply 150 and 6625 to get 993750.

$$993750x^{31}$$

Differentiate w.r.t. x

$$30806250x^{30}$$

Steps Using Definition of a Derivative

Multiply 15 and 10 to get 150.

$$\frac{\mathrm{d}}{\mathrm{d}x}(150x^{31}\times 6625)$$

Multiply 150 and 6625 to get 993750.

$$\frac{\mathrm{d}}{\mathrm{d}x}(993750x^{31})$$

The derivative of ax^{n} is nax^{n-1}.

$$31\times 993750x^{31-1}$$

Multiply 31 times 993750.

$$30806250x^{31-1}$$

Subtract 1 from 31.

$$30806250x^{30}$$