How to solve (3y)((-5(y)^(2))

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 (3y)((-5(y)^(2)) | Equatix

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$(3y)((-5 { y }^{ 2 } )$$

Evaluate

$-15y^{3}$

Show Solution

Differentiate w.r.t. y

$-45y^{2}$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add $1$ and $2$ to get $3$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y^{3}\left(-5\right))$$

Multiply $3$ and $-5$ to get $-15$.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-15y^{3})$$

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

$$3\left(-15\right)y^{3-1}$$

Multiply $3$ times $-15$.

$$-45y^{3-1}$$

Subtract $1$ from $3$.

$$-45y^{2}$$

Show Solution

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Example

Question

Evaluate

Solution Steps

Differentiate w.r.t. y

Steps Using Definition of a Derivative