Calculus homework

[half hollow]

I have no idea where to begin and hope someone can help me explain it

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[half hollow]

idk why my teacher would give this hard of homework when we barely been taught it

[vivid sluice]

1st one chain rule

second one i guess implicit not sure

third one split using log properties

[half hollow]

that’s the thing tho i don’t know how

[vivid sluice]

1st one chain rule

do yo know how to chain rule

just asking

log properties include

ln(ab)=ln a + ln b

ln a^n=n * ln a

[half hollow]

we started learning it today but haven’t finished yet

[vivid sluice]

then i guess you got to wait

no use rushing

[half hollow]

but the homework is due tomorrow at the beginning of class

[vivid sluice]

Then the only option is i have to teach it

Ok i will try my best on chat

We will start with easiest of the three

The first one

Suppose i have a function sin (x²)

How do i differentiate it

Put x² as some z

Dy/dx i have to find

I can multiply divide by dz

So (dy/dz)*(dz/dx)

So d(sinz)/dz *d(x²)/dx

And at last put z is equal to x²

Did you understand

[cobalt crypt]

@half hollow for the first one you must know arcsec derivative and chain rule

Have you learned these?

[vivid sluice]

he told he is still learning

[vivid sluice]

See

[cobalt crypt]

Alright so the general formula is:
[f(g(x))]'=f'(g(x))•g'(x)