Solve Simplify 12a + 30 - 4a + 17 . | 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

$$12 a + 30 - 4 a + 17$$

Evaluate

$8a+47$

Differentiate w.r.t. a

$8$

Steps Using Derivative Rule for Sum

Combine $12a$ and $-4a$ to get $8a$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(8a+30+17)$$

Add $30$ and $17$ to get $47$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(8a+47)$$

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 $nax^{n-1}$.

$$8a^{1-1}$$

Subtract $1$ from $1$.

$$8a^{0}$$

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

$$8\times 1$$

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

$$8$$