What is the derivative of $5x arcsin(x)$ ?

Question

1465 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-06T17:25:20

Using the product rule, which states that for a function $y=f(x)g(x)$ its derivative will be $y'=f'(x)g(x)+f(x)g'(x)$ ,

$(dy)/(dx)=5arcsinx+5x(1/(sqrt(1-x^2)))=5(arcsinx+x/sqrt(1+x^2))$

What is the derivative of 5x arcsin(x)5x arcsin(x)?