Solve (4y-8)+(3y+4) | 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

$$(4y-8)+(3y+4)$$

Evaluate

$7y-4$

Differentiate w.r.t. y

$7$

Steps Using Derivative Rule for Sum

Combine $4y$ and $3y$ to get $7y$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(7y-8+4)$$

Add $-8$ and $4$ to get $-4$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(7y-4)$$

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 $nax^{n-1}$.

$$7y^{1-1}$$

Subtract $1$ from $1$.

$$7y^{0}$$

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

$$7\times 1$$

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

$$7$$