How to solve 125y3-3432^ 3

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.

Solve 125y3-3432^ 3 | Equatix

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Question

$$125y3-3432^{3}$$

Differentiate w.r.t. y_3

$125$

Steps Using Derivative Rule for Sum

Calculate $3432$ to the power of $3$ and get $40424237568$.

$$\frac{\mathrm{d}}{\mathrm{d}y_{3}}(125y_{3}-40424237568)$$

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 $nax^{n-1}$.

$$125y_{3}^{1-1}$$

Subtract $1$ from $1$.

$$125y_{3}^{0}$$

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

$$125\times 1$$

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

$$125$$

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Evaluate

$125y_{3}-40424237568$

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Example

Question

Differentiate w.r.t. y_3

Steps Using Derivative Rule for Sum

Evaluate

Solution Steps