Inverse trig function (1 Viewer)

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I need help with q17 part b, d and e pls

 

[mmmmmmmmaaaaaaa]

I need help with q17 part b, d and e pls

For b, differentiate it and use the hint. You should get the answer

 

[ExtremelyBoredUser]

I need help with q17 part b, d and e pls

For b, use the derivative of cos^-1(x) formula

For d,
when x > 1 then the equation given is just positive x instead of abs value x
when x < 1 then equation given is just negative x instead of abs value x


For e,

For x > 1,

this is simply going to be positive as the denom will always be positive as and and as the derivative is positive for all values x > 1, hence it increases for x > 1

For x < 1,

will be negative as x is a negative value multiplying the positive value from and therefore the denom is negative. As there is a negative outside, that will multiply with the negative value inside the brackets and hence will always produce a positive value. Hence it is increasing for this domain as well. This is just elaboration, I would just do;

as x < 0 and so denominator is > 0 within the domain

Therefore function is increasing for x < -1

 

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Thank you guys

another q is the only way to solve this integration by parts

 

[j8aab]

Thank you guys

another q is the only way to solve this integration by partsView attachment 34899

Yes