tolotrasamuel / grapsable_math Goto Github PK

The negative sign had to be moved to the other side before the e could have been invested

$$ \begin{align*} e^x-2x-2&=0\\ -2x-2&=0-e^x\\ -2x-2&=-e^x\\ -2x-2+e^x&=0\\ -2x-2&=0-e^x\\ -2x-2&=-e^x\\ 2x+2&=e^x\\ 2x+2&=\frac{1}{e^{-x}}\\ e^{-x}\cdot \left(2x+2\right)&=1 \end{align*} $$

$$ 4\left(\sqrt{y}\right)^2=\left(x+c\right)^2 $$

If we remove the parenthesis first, it will give

$$ 4y=\left(x+c\right)^2 $$

With the node For this to work, it must be true that y ≥ 0.

But if we insert the square exponent inside the square root, we get instead

$$ 4\left|y\right|=\left(x+c\right)^2 $$

Add a way to convert 0.5 to 1/2

Suggestion:

We can Add Lambert Theorem to the formula

If

$$ e^uu=a $$

Then as per the Theorem,

$$ u=W_{-1}\cdot \left(a\right),u=W_0\cdot \left(a\right) $$

The following latex \left|y\right|=e^{C_2}\left|x\right|

displays correctly on the editor as :

$$ \left|y\right|=e^{C_2}\left|x\right| $$

However, after typing enter, it renders as :

$$ \left(\left|y\right|=e^{C_2}\right)\left|x\right| $$

You cannot compute a number from a term using Pi and e,

for example 2e to be real number or 2Pi

Example

Allow writing the derivate with the apostrophe
For example:
y'=y

But the editor would not allow this