Solve y^ 3 +2y+1)-(y^ 2 +6y-2) | 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

$$y^{3}+2y+1)-(y^{2}+6y-2)$$

Differentiate w.r.t. y

$3y^{2}+2$

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 $nax^{n-1}$.

$$3y^{3-1}+2y^{1-1}$$

Subtract $1$ from $3$.

$$3y^{2}+2y^{1-1}$$

Subtract $1$ from $1$.

$$3y^{2}+2y^{0}$$

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

$$3y^{2}+2\times 1$$

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

$$3y^{2}+2$$

Evaluate

$y^{3}+2y+1$