Penyelesaian - Derivative

Applying the product rule of derivatives.

$$\frac{d}{dx}\left[x^{23}x\right]=\frac{d}{dx}\left[x^{23}\right]\times x+x^{23}\times \frac{d}{dx}\left[x\right]$$

Computing the derivative of x raised to the power of n.

$$\frac{d}{dx}\left[x^{23}\right]\times x+x^{23}\times \frac{d}{dx}\left[x\right]=\left(23x^{23-1}\right)\times x+x^{23}\times \frac{d}{dx}\left[x\right]$$

Subtracting one from a number.

$$\left(23x^{23-1}\right)\times x+x^{23}\times \frac{d}{dx}\left[x\right]=\left(23x^{22}\right)\times x+x^{23}\times \frac{d}{dx}\left[x\right]$$

The derivative of a variable with respect to itself is always equal to one.

$$\left(23x^{22}\right)\times x+x^{23}\times \frac{d}{dx}\left[x\right]=\left(23x^{22}\right)\times x+x^{23}\times 1$$

Multiplying a number by one, which does not change its value.

$$\left(23x^{22}\right)\times x+x^{23}\times 1=\left(23x^{22}\right)\times x+x^{23}$$

Simplifying the arithmetic expressions.

$$23x^{22}\times x+x^{23}=23x^{23}+x^{23}$$

Simplifying the arithmetic expressions.

$$23x^{23}+x^{23}=24x^{23}$$