Solve (- 8) + (- 9) * \mathfrak{u}(- 9) + (- 8) | 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

$$(-8)+(-9)\mathfrak{u}(-9)+(-8)$$

Evaluate

$81u-16$

Differentiate w.r.t. u

$81$

Steps Using Derivative Rule for Sum

Multiply $-9$ and $-9$ to get $81$.

$$\frac{\mathrm{d}}{\mathrm{d}u}(-8+81u-8)$$

Subtract $8$ from $-8$ to get $-16$.

$$\frac{\mathrm{d}}{\mathrm{d}u}(-16+81u)$$

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 $nax^{n-1}$.

$$81u^{1-1}$$

Subtract $1$ from $1$.

$$81u^{0}$$

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

$$81\times 1$$

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

$$81$$