Question

first three terms for maclaurin series of f(x)=arcsin(x)

Answer 1

have u tried it , its kinda simple if u know the derivative

Answer 2

i have been looking at it for hours, referring to the textbook and back. maybe some advice in the right direction?

Answer 3

listen firstly derivative for arsinx =\[1/[1-(x^2)]\]

Answer 4

f(x)=f(0)+f'(0)x+1/2!f''(0)x^2+...+1/n!f^(n)(0)x^n

Answer 5

now take out two more derivatives by using quotient rule or other method

Answer 6

u mean 1/sqrt(1-x^2)...

Answer 7

yup... following ya

Answer 8

yehh, now take out derivative of 1/sqrt(1-x^2)...

Answer 9

perfect

Answer 10

so y''(x) = x/((1-x^2)^3/2)
& y'''(x) = 3x^2/((1-x^2)^5/2) + 1/((1-x^2)^3/2)

Answer 11

man u have dont it !

Answer 12

now put O in all the eq

Answer 13

y'(0) = 1 ; y''(0) = 0 ; y'''(0) = 1

Answer 14

so is the answer: