Solve 250-30P+(P)^(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

$$250-30P+ { P }^{ 2 }$$

Differentiate w.r.t. P

$2\left(P-15\right)$

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 $nax^{n-1}$.

$$-30P^{1-1}+2P^{2-1}$$

Subtract $1$ from $1$.

$$-30P^{0}+2P^{2-1}$$

Subtract $1$ from $2$.

$$-30P^{0}+2P^{1}$$

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

$$-30P^{0}+2P$$

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

$$-30+2P$$

Evaluate

$P^{2}-30P+250$