1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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3(r+2s)=2t-4

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Question

$$\frac { 54 x } { 10 }$$

Differentiate w.r.t. x

$\frac{27}{5} = 5\frac{2}{5} = 5.4$

Steps Using Definition of a Derivative

Divide $54x$ by $10$ to get $\frac{27}{5}x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{27}{5}x)$$

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

$$\frac{27}{5}x^{1-1}$$

Subtract $1$ from $1$.

$$\frac{27}{5}x^{0}$$

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

$$\frac{27}{5}\times 1$$

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

$$\frac{27}{5}$$

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Evaluate

$\frac{27x}{5}$

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Example

Question

Differentiate w.r.t. x

Steps Using Definition of a Derivative

Evaluate

Solution Steps