Solve 6+5x+6(x)^(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

$$6+5x+6 { x }^{ 2 }$$

Differentiate w.r.t. x

$12x+5$

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 $nax^{n-1}$.

$$5x^{1-1}+2\times 6x^{2-1}$$

Subtract $1$ from $1$.

$$5x^{0}+2\times 6x^{2-1}$$

Multiply $2$ times $6$.

$$5x^{0}+12x^{2-1}$$

Subtract $1$ from $2$.

$$5x^{0}+12x^{1}$$

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

$$5x^{0}+12x$$

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

$$5\times 1+12x$$

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

$$5+12x$$

Evaluate

$6x^{2}+5x+6$