MaxWong

Melody, 179 x 3 x 5 = 2685 is smaller and fits in the requirement.

https://www.desmos.com/calculator/ddksm4r2rw

Me too Guest #1, These numbers doesn't make sense.

5 - 2 = 3.

I don't know all those but I do know how to do (d).

$\dfrac{dy}{dx}\\=\dfrac{d}{dx} \left(\ln \left(x^4\right)+e^x\right)\\=\dfrac{d}{dx}(4\ln x)+\dfrac{d}{dx}(e^x)$

$=4\dfrac{d}{dx}(\ln x)+\dfrac{d}{dx} e^x$

$=\dfrac{4}x+e^x$

$\begin{array}{rl}z_0=e^u&u=2x^2\\\end{array}\\ \dfrac{dz_0}{dx}=\dfrac{dz_0}{du}\times \dfrac{du}{dx}\leftarrow\text{ Chain rule}\\ \;\;\;\;\;\;\!=e^u\times 4x\\ \;\;\;\;\;\;\!=4xe^{2x^2}$

You can see that I am differentiating z₀ =e^2x^2 using chain rule.

$\dfrac{dz}{dx}\\ =\dfrac{d}{dx}(z_0)+\dfrac{d}{dx}(6)\\ =4xe^{2x^2}$

$\therefore\dfrac{dp}{dx}=\dfrac{dy}{dx}+\dfrac{dz}{dx}=\dfrac{4}{x}+e^x+4xe^{2x^2}$

1+1-1+1-1+1-1+1+1+1+1-12312312321213123120

= 1+1+1+1+1-12312312321213123120

= 5 - 12312312321213123120

= -12312312321213123115

eight minus negative sixteen = eight plus sixteen = twenty four.

Question: $f^{-1} \text{ of }f(x)=\frac{7-8x}{3}$

$\text{Or }y = \frac{7-8x}{3}$

$3y=7-8x$

$3y-7=-8x$

$x=\dfrac{7-3y}{8}$

$f^{-1}(y)=\dfrac{7-3y}{8}$
$f^{-1}(x)=\dfrac{7-3x}{8}$

Finish!!

$-\sqrt8 + \sqrt 2$

$=-2\sqrt2 + \sqrt 2$

$= -\sqrt 2$

$\begin{array}{rl}&-\dfrac{1}{3}+(-\dfrac{3}{8})\\=&(-1)(\dfrac{1}{3}+\dfrac{3}{8})\\=&(-1)(\dfrac{8}{24}+\dfrac{9}{24})\\=&(-1)(\dfrac{17}{24})\\=&\color{red}-\dfrac{17}{24}\end{array}$