Solve 7(x)^(2)+28xy+2yx+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

$$7 { x }^{ 2 } +28xy+2yx+8$$

Differentiate w.r.t. x

$14x+30y$

Steps Using Derivative Rule for Sum

Combine $28xy$ and $2yx$ to get $30xy$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{2}+30xy+8)$$

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 $nax^{n-1}$.

$$2\times 7x^{2-1}+30yx^{1-1}$$

Multiply $2$ times $7$.

$$14x^{2-1}+30yx^{1-1}$$

Subtract $1$ from $2$.

$$14x^{1}+30yx^{1-1}$$

Subtract $1$ from $1$.

$$14x^{1}+30yx^{0}$$

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

$$14x+30yx^{0}$$

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

$$14x+30y\times 1$$

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

$$14x+30y$$

Evaluate

$7x^{2}+30xy+8$