Solve x ^ 2 - 2sqrt(2) * x - 30 | 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

$$x^{2}-2\sqrt{2}x-30$$

Differentiate w.r.t. x

$2\left(x-\sqrt{2}\right)$

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 $nax^{n-1}$.

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

Subtract $1$ from $2$.

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

Subtract $1$ from $1$.

$$2x^{1}+\left(-2\sqrt{2}\right)x^{0}$$

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

$$2x+\left(-2\sqrt{2}\right)x^{0}$$

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

$$2x+\left(-2\sqrt{2}\right)\times 1$$

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

$$2x-2\sqrt{2}$$

Evaluate

$x^{2}-2\sqrt{2}x-30$