Solve 2 ^ 3 - 10z + 75 | 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

$$2^{3}-10z+75$$

Evaluate

$83-10z$

Differentiate w.r.t. z

$-10$

Steps Using Derivative Rule for Sum

Calculate $2$ to the power of $3$ and get $8$.

$$\frac{\mathrm{d}}{\mathrm{d}z}(8-10z+75)$$

Add $8$ and $75$ to get $83$.

$$\frac{\mathrm{d}}{\mathrm{d}z}(83-10z)$$

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 $nax^{n-1}$.

$$-10z^{1-1}$$

Subtract $1$ from $1$.

$$-10z^{0}$$

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

$$-10$$