- **Calculus**
(*http://mymathforum.com/calculus/*)

- - **Derivatives**
(*http://mymathforum.com/calculus/11683-derivatives.html*)

DerivativesHi. I'm having some problems with doing derivatives. I have some of the answers for my homework, but I am stuck on others. For example, I know how to get the derivative of this problem: y=x^(ln(x)) y=x^(ln(x)) ln(y)=ln(x^(ln(x)) ln(y)=ln(x)ln(x) implicit differentiation+product rule yields (1/y)y'=(1/x)ln(x)+(1/x)ln(x) (1/y)y'=(2/x)ln(x) y'=(2/x)yln(x) =(2yln(x))/x However, I'm having problems finding derivatives for: 1) y=log (theta^2) 2) y=sin ?(1-u^2) 3) y= z (cos^-1) z-?(1-z^2) Any help would be greatly appreciated. Thanks. |

1) log(theta) = 2log|theta| . . . can you differentiate log|theta|? 2) Use the chain rule. 3) Use the chain rule and the fact that the derivative of with respect to x is -1/?(1 - x²). |

All times are GMT -8. The time now is 01:23 PM. |

Copyright © 2019 My Math Forum. All rights reserved.