Solve 5z-7-12z+3 | 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

$$5z-7-12z+3$$

Evaluate

$-7z-4$

Differentiate w.r.t. z

$-7$

Steps Using Derivative Rule for Sum

Combine $5z$ and $-12z$ to get $-7z$.

$$\frac{\mathrm{d}}{\mathrm{d}z}(-7z-7+3)$$

Add $-7$ and $3$ to get $-4$.

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

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 $nax^{n-1}$.

$$-7z^{1-1}$$

Subtract $1$ from $1$.

$$-7z^{0}$$

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

$$-7$$