Solve x ^ 8 - 29x ^ 2 + 142x - 120 | 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

$$x^{8}-29x^{2}+142x-120$$

Differentiate w.r.t. x

$8x^{7}-58x+142$

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 $nax^{n-1}$.

$$8x^{8-1}+2\left(-29\right)x^{2-1}+142x^{1-1}$$

Subtract $1$ from $8$.

$$8x^{7}+2\left(-29\right)x^{2-1}+142x^{1-1}$$

Multiply $2$ times $-29$.

$$8x^{7}-58x^{2-1}+142x^{1-1}$$

Subtract $1$ from $2$.

$$8x^{7}-58x^{1}+142x^{1-1}$$

Subtract $1$ from $1$.

$$8x^{7}-58x^{1}+142x^{0}$$

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

$$8x^{7}-58x+142x^{0}$$

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

$$8x^{7}-58x+142\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$8x^{7}-58x+142$$

Evaluate

$x^{8}-29x^{2}+142x-120$