Solve 100(x)^(2)-2x+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

$$100 { x }^{ 2 } -2x+1$$

Differentiate w.r.t. x

$200x-2$

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 $nax^{n-1}$.

$$2\times 100x^{2-1}-2x^{1-1}$$

Multiply $2$ times $100$.

$$200x^{2-1}-2x^{1-1}$$

Subtract $1$ from $2$.

$$200x^{1}-2x^{1-1}$$

Subtract $1$ from $1$.

$$200x^{1}-2x^{0}$$

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

$$200x-2x^{0}$$

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

$$200x-2$$

Evaluate

$100x^{2}-2x+1$