Solve 3(y)^(2)-4y+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

$$3 { y }^{ 2 } -4y+8$$

Differentiate w.r.t. y

$6y-4$

Steps Using Derivative Rule for Sum

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 $nax^{n-1}$.

$$2\times 3y^{2-1}-4y^{1-1}$$

Multiply $2$ times $3$.

$$6y^{2-1}-4y^{1-1}$$

Subtract $1$ from $2$.

$$6y^{1}-4y^{1-1}$$

Subtract $1$ from $1$.

$$6y^{1}-4y^{0}$$

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

$$6y-4y^{0}$$

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

$$6y-4$$

Evaluate

$3y^{2}-4y+8$