Solve 6(x)^(3)-3x+5x+1 | 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

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

Differentiate w.r.t. x

$18x^{2}+2$

Steps Using Derivative Rule for Sum

Combine $-3x$ and $5x$ to get $2x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x^{3}+2x+1)$$

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 $nax^{n-1}$.

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

Multiply $3$ times $6$.

$$18x^{3-1}+2x^{1-1}$$

Subtract $1$ from $3$.

$$18x^{2}+2x^{1-1}$$

Subtract $1$ from $1$.

$$18x^{2}+2x^{0}$$

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

$$18x^{2}+2\times 1$$

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

$$18x^{2}+2$$

Evaluate

$6x^{3}+2x+1$