Solve P(2)=2(x)^(2)+(x)^(2)+3x+1 | 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

$$P(2)=2 { x }^{ 2 } + { x }^{ 2 } +3x+1$$

Differentiate w.r.t. x

$6x+3$

Steps Using Derivative Rule for Sum

Combine $2x^{2}$ and $x^{2}$ to get $3x^{2}$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+3x+1)$$

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 $nax^{n-1}$.

$$2\times 3x^{2-1}+3x^{1-1}$$

Multiply $2$ times $3$.

$$6x^{2-1}+3x^{1-1}$$

Subtract $1$ from $2$.

$$6x^{1}+3x^{1-1}$$

Subtract $1$ from $1$.

$$6x^{1}+3x^{0}$$

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

$$6x+3x^{0}$$

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

$$6x+3\times 1$$

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

$$6x+3$$

Evaluate

$3x^{2}+3x+1$