Solve 7a - 2a + (- 11a) - 3a | 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

$$7a-2a+(-11a)-3a$$

Evaluate

$-9a$

Solution Steps

Combine $7a$ and $-2a$ to get $5a$.

$$5a-11a-3a$$

Combine $5a$ and $-11a$ to get $-6a$.

$$-6a-3a$$

Combine $-6a$ and $-3a$ to get $-9a$.

$$-9a$$

Differentiate w.r.t. a

$-9$

Steps Using Definition of a Derivative

Combine $7a$ and $-2a$ to get $5a$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a-11a-3a)$$

Combine $5a$ and $-11a$ to get $-6a$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-6a-3a)$$

Combine $-6a$ and $-3a$ to get $-9a$.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-9a)$$

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$-9a^{1-1}$$

Subtract $1$ from $1$.

$$-9a^{0}$$

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

$$-9$$