Solve x+2-x-3(x)x+3 | 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

$$x+2-x-3(x)x+3$$

Evaluate

$5-3x^{2}$

Solution Steps

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

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

Combine $x$ and $-x$ to get $0$.

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

Add $2$ and $3$ to get $5$.

$$5-3x^{2}$$

Differentiate w.r.t. x

$-6x$

Steps Using Derivative Rule for Sum

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

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

Combine $x$ and $-x$ to get $0$.

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

Add $2$ and $3$ to get $5$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5-3x^{2})$$

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 $nax^{n-1}$.

$$2\left(-3\right)x^{2-1}$$

Multiply $2$ times $-3$.

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

Subtract $1$ from $2$.

$$-6x^{1}$$

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

$$-6x$$