How to solve x ^ 5 - x ^ 4 + 3

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 ^ 5 - x ^ 4 + 3 | Equatix

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Question

$$x^{5}-x^{4}+3$$

Differentiate w.r.t. x

$\left(5x-4\right)x^{3}$

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 $nax^{n-1}$.

$$5x^{5-1}+4\left(-1\right)x^{4-1}$$

Subtract $1$ from $5$.

$$5x^{4}+4\left(-1\right)x^{4-1}$$

Multiply $4$ times $-1$.

$$5x^{4}-4x^{4-1}$$

Subtract $1$ from $4$.

$$5x^{4}-4x^{3}$$

Show Solution

Evaluate

$x^{5}-x^{4}+3$