Solve F(x)=-(x)^(2)+2x-2 | 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

$$F(x)=- { x }^{ 2 } +2x-2$$

Differentiate w.r.t. x

$2-2x$

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 $nax^{n-1}$.

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

Multiply $2$ times $-1$.

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

Subtract $1$ from $2$.

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

Subtract $1$ from $1$.

$$-2x^{1}+2x^{0}$$

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

$$-2x+2x^{0}$$

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

$$-2x+2\times 1$$

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

$$-2x+2$$

Evaluate

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