Solve 3x ^ 2 + 5sqrt(3) * x + 4 | 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

$$3x^{2}+5\sqrt{3}x+4$$

Differentiate w.r.t. x

$6x+5\sqrt{3}$

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 $nax^{n-1}$.

$$2\times 3x^{2-1}+5\sqrt{3}x^{1-1}$$

Multiply $2$ times $3$.

$$6x^{2-1}+5\sqrt{3}x^{1-1}$$

Subtract $1$ from $2$.

$$6x^{1}+5\sqrt{3}x^{1-1}$$

Subtract $1$ from $1$.

$$6x^{1}+5\sqrt{3}x^{0}$$

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

$$6x+5\sqrt{3}x^{0}$$

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

$$6x+5\sqrt{3}\times 1$$

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

$$6x+5\sqrt{3}$$

Evaluate

$3x^{2}+5\sqrt{3}x+4$