Solve 2a + 3a / 3 * 4 - 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

$$2a+3a\div3\times4-5$$

Evaluate

$6a-5$

Differentiate w.r.t. a

$6$

Steps Using Derivative Rule for Sum

Cancel out $3$ and $3$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2a+a\times 4-5)$$

Combine $2a$ and $a\times 4$ to get $6a$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a-5)$$

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 $nax^{n-1}$.

$$6a^{1-1}$$

Subtract $1$ from $1$.

$$6a^{0}$$

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

$$6\times 1$$

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

$$6$$