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how do you differentiate and rearrange these? watch

1. what does it mean when a line stops at the x axis?

how do you differentiate: f(x)=In(cos(sin(x))-sin(cos(In x))?

how would i find the root of f(x)=x-cos(x). would it be decimal search, Newton-Raphson and rearrangement method?
2. (Original post by esmeralda123)
what does it mean when a line stops at the x axis?

how do you differentiate: f(x)=In(cos(sin(x))-sin(cos(In x))?

how would i find the root of f(x)=x-cos(x). would it be decimal search, Newton-Raphson and rearrangement method?
1. Well, dunno, it just means that it doesn't cross the x-axis

2. Use substitution twice. First let and and get the first part in and , then use the substitution and to differentiate u and v

3. Whichever one, they all approximate it.
3. (Original post by esmeralda123)

how do you differentiate: f(x)=In(cos(sin(x))-sin(cos(In x))?
You are missing a close bracket in that expression, which will affect how we solve it.

Put it in and we can give you the answer.

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