Y=e^x.sin^-1.x (diff. With respect to x)?

1 Answer
Apr 18, 2018

#dy/dx=e^x/(sqrt(1-x^2))+e^xsin^-1x#

Explanation:

#"differentiate using the "color(blue)"product rule"#

#"Given "y=g(x)h(x)" then"#

#dy/dx=g(x)h'(x)+h(x)g'(x)larrcolor(blue)"product rule"#

#g(x)=e^xrArrg'(x)=e^x#

#h(x)=sin^-1xrArrh'(x)=1/(sqrt(1-x^2)#

#rArrdy/dx=e^x/sqrt(1-x^2)+e^xsin^-1x#