Solve f(x)=(x)^(2)-6x+10 | 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

$$f(x)= { x }^{ 2 } -6x+10$$

Differentiate w.r.t. x

$2\left(x-3\right)$

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 $nax^{n-1}$.

$$2x^{2-1}-6x^{1-1}$$

Subtract $1$ from $2$.

$$2x^{1}-6x^{1-1}$$

Subtract $1$ from $1$.

$$2x^{1}-6x^{0}$$

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

$$2x-6x^{0}$$

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

$$2x-6$$

Evaluate

$x^{2}-6x+10$