Solve P(x) = 1 - x + x ^ 2 + 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

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

Differentiate w.r.t. x

$4x-1$

Steps Using Derivative Rule for Sum

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

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

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 $nax^{n-1}$.

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

Subtract $1$ from $1$.

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

Multiply $2$ times $2$.

$$-x^{0}+4x^{2-1}$$

Subtract $1$ from $2$.

$$-x^{0}+4x^{1}$$

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

$$-x^{0}+4x$$

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

$$-1+4x$$

Evaluate

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