Solve (x)^(3)+3x-16x-48 | 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

$${ x }^{ 3 } +3x-16x-48$$

Differentiate w.r.t. x

$3x^{2}-13$

Steps Using Derivative Rule for Sum

Combine $3x$ and $-16x$ to get $-13x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}-13x-48)$$

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 $nax^{n-1}$.

$$3x^{3-1}-13x^{1-1}$$

Subtract $1$ from $3$.

$$3x^{2}-13x^{1-1}$$

Subtract $1$ from $1$.

$$3x^{2}-13x^{0}$$

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

$$3x^{2}-13$$

Evaluate

$x^{3}-13x-48$