Solve x^6-48^6-2

$$x ^ { 6 } - 48 ^ { 6 } - 2$$

Evaluate

$$x^{6}-12230590466$$

Solution Steps

Calculate 48 to the power of 6 and get 12230590464.

$$x^{6}-12230590464-2$$

Subtract 2 from -12230590464 to get -12230590466.

$$x^{6}-12230590466$$

Differentiate w.r.t. x

$$6x^{5}$$

Steps Using Derivative Rule for Sum

Calculate 48 to the power of 6 and get 12230590464.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-12230590464-2)$$

Subtract 2 from -12230590464 to get -12230590466.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{6}-12230590466)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$6x^{6-1}$$

Subtract 1 from 6.

$$6x^{5}$$