Solve (x-8)+(-3x+5) | 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

$$(x-8)+(-3x+5)$$

Evaluate

$-2x-3$

Differentiate w.r.t. x

$-2$

Steps Using Derivative Rule for Sum

Combine $x$ and $-3x$ to get $-2x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x-8+5)$$

Add $-8$ and $5$ to get $-3$.

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

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 $nax^{n-1}$.

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

Subtract $1$ from $1$.

$$-2x^{0}$$

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

$$-2$$