Question

calculus help

Answer 1

only these 4 questions

Answer 2

Oh wait are you asking us to check your answers or do you want us to help solve them?

Answer 3

check the first one and I have an idea for the other 3

Answer 4

First one is correct.

Answer 5

is 2 a I know 1/sin is -1/cos or some trig identity like that

Answer 6

For 2, I think they want you to think about it this way:

\[\frac{d^1}{dx^1}\sin(x) = \cos(x)\]
\[\frac{d^2}{dx^2}\sin(x) = -\sin(x)\]
and so on.
d1 becomes cos(x)
d2 becomes -sin(x)
d3 becomes -cos(x)
d4 becomes sin(x) and it repeats. Basically d4 = no derivative at all.

now for d100

If you do 100/4 it becomes 25. Which is not a decimal so 4 goes into 100 perfectly.

d4 = d8 = d12 ... = d100

I don't think there's a change so the answer is still sin(x)

Answer 7

Third question looks correct

Answer 8

I think the fourth question is false. Mostly because the derivative of a^x is ln(a) a^x
https://www.symbolab.com/solver/step-by-step/%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft(%5Csqrt%7B5%7D%5E%7Bsin%5E2%5Cleft(x%5Cright)-cos%5E2%5Cleft(x%5Cright)%7D%5Cright)