Solve 173x^25x^2

$$173 x ^ { 2 } 5 x ^ { 2 }$$

Evaluate

$$865x^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$173x^{4}\times 5$$

Multiply 173 and 5 to get 865.

$$865x^{4}$$

Differentiate w.r.t. x

$$3460x^{3}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(173x^{4}\times 5)$$

Multiply 173 and 5 to get 865.

$$\frac{\mathrm{d}}{\mathrm{d}x}(865x^{4})$$

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

$$4\times 865x^{4-1}$$

Multiply 4 times 865.

$$3460x^{4-1}$$

Subtract 1 from 4.

$$3460x^{3}$$