Solve F(x)=-5(x)^(2)+10x-9 | 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

$$F(x)=-5 { x }^{ 2 } +10x-9$$

Differentiate w.r.t. x

$10-10x$

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 $nax^{n-1}$.

$$2\left(-5\right)x^{2-1}+10x^{1-1}$$

Multiply $2$ times $-5$.

$$-10x^{2-1}+10x^{1-1}$$

Subtract $1$ from $2$.

$$-10x^{1}+10x^{1-1}$$

Subtract $1$ from $1$.

$$-10x^{1}+10x^{0}$$

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

$$-10x+10x^{0}$$

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

$$-10x+10\times 1$$

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

$$-10x+10$$

Evaluate

$-5x^{2}+10x-9$