Solve 4x ^ 4 - 12x + 9 | 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

$$4x^{4}-12x+9$$

Differentiate w.r.t. x

$16x^{3}-12$

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 $nax^{n-1}$.

$$4\times 4x^{4-1}-12x^{1-1}$$

Multiply $4$ times $4$.

$$16x^{4-1}-12x^{1-1}$$

Subtract $1$ from $4$.

$$16x^{3}-12x^{1-1}$$

Subtract $1$ from $1$.

$$16x^{3}-12x^{0}$$

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

$$16x^{3}-12$$

Evaluate

$4x^{4}-12x+9$