I am trying to diff wrt the following A*arcsin(tan(3xy)+2) where A is a contstant. Can anybody help?
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Originally Posted by ryanfoster I am trying to diff wrt the following A*arcsin(tan(3xy)+2) where A is a contstant. Can anybody help? You are leaving us with a bit more guess work to do than I like. What do you want to differentiate, and with respect to what? RonL
Originally Posted by CaptainBlack You are leaving us with a bit more guess work to do than I like. What do you want to differentiate, and with respect to what? RonL I would like to differentiate implicitly wrt to x : y=arcsin(tan(3xy)+2) Sorry about the lack of info - just getting back into mathematics after a 10 year gap
Originally Posted by ryanfoster I would like to differentiate implicitly wrt to x : y=arcsin(tan(3xy)+2) Sorry about the lack of info - just getting back into mathematics after a 10 year gap Chain rule: $\displaystyle y=asn(tan(3xy)+2)$ $\displaystyle \frac{dy}{dx} = \frac{1}{\sqrt{1 - (tan(3xy) + 2)^2}} \cdot (tan^2(3xy) + 1) \cdot \left (3y + 3x \frac{dy}{dx} \right )$ Now solve for $\displaystyle \frac{dy}{dx}$ -Dan
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