How to solve -7(x)^(2)y+3xy+3

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 $nax^{n-1}$.

$$2\left(-7y\right)x^{2-1}+3yx^{1-1}$$

Multiply $2$ times $-7y$.

$$\left(-14y\right)x^{2-1}+3yx^{1-1}$$

Subtract $1$ from $2$.

$$\left(-14y\right)x^{1}+3yx^{1-1}$$

Subtract $1$ from $1$.

$$\left(-14y\right)x^{1}+3yx^{0}$$

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

$$\left(-14y\right)x+3yx^{0}$$

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

$$\left(-14y\right)x+3y\times 1$$

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

$$\left(-14y\right)x+3y$$

Show Solution

Evaluate

$3xy-7yx^{2}+3$

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Differentiate w.r.t. x

Steps Using Derivative Rule for Sum

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