How to solve x ^ 7 - 7x + 72

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve x ^ 7 - 7x + 72 | Equatix

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Question

$$x^{7}-7x+72$$

Differentiate w.r.t. x

$7\left(x^{2}-1\right)\left(\left(x^{2}+1\right)^{2}-x^{2}\right)$

Steps Using Derivative Rule for Sum

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 $nax^{n-1}$.

$$7x^{7-1}-7x^{1-1}$$

Subtract $1$ from $7$.

$$7x^{6}-7x^{1-1}$$

Subtract $1$ from $1$.

$$7x^{6}-7x^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$7x^{6}-7$$

Show Solution

Evaluate

$x^{7}-7x+72$