How to solve (8b ^ 2)/(4ab)

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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Question

$$\frac{8b^{2}}{4ab}$$

Differentiate w.r.t. b

$\frac{2}{a}$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{8}{4a}b^{2-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{2}{a}b^{1})$$

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 $nax^{n-1}$.

$$\frac{2}{a}b^{1-1}$$

Do the arithmetic.

$$\frac{2}{a}b^{0}$$

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

$$\frac{2}{a}\times 1$$

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

$$\frac{2}{a}$$

Show Solution

Evaluate

$\frac{2b}{a}$

Show Solution

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Example

Question

Differentiate w.r.t. b

Solution Steps

Evaluate

Solution Steps