Solve x ^ 4 - x ^ 2 + 1 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$x^{4}-x^{2}+1$$

Differentiate w.r.t. x

$4x^{3}-2x$

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 $nax^{n-1}$.

$$4x^{4-1}+2\left(-1\right)x^{2-1}$$

Subtract $1$ from $4$.

$$4x^{3}+2\left(-1\right)x^{2-1}$$

Multiply $2$ times $-1$.

$$4x^{3}-2x^{2-1}$$

Subtract $1$ from $2$.

$$4x^{3}-2x^{1}$$

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

$$4x^{3}-2x$$

Evaluate

$x^{4}-x^{2}+1$