Hello,
Could I get a hint about how to deal with a couple of calculus problems:
1) The integral of Sec^2(3x)
2) The derivative of y + 2xSin(y) = e^x (i.e. dy/dx)
Thanks in advance.
Just in case a picture helps...
... where (key in spoiler)...
Spoiler:
Spoiler:
And here, to integrate and therefore travelling up instead of down,
... you're meant to integrate sec^2 as a standard integral (but see here).
Spoiler:
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Don't integrate - balloontegrate!
Balloon Calculus; standard integrals, derivatives and methods
Balloon Calculus Drawing with LaTeX and Asymptote!
You are expected to know that the derivative of tan(x) is sec^2(x).
Do you know "implicit differentiation"? What is the derivative of sin(y) with respect to x? What is the derivative of 2x sin(y) with respect to x?2) The derivative of y + 2xSin(y) = e^x (i.e. dy/dx)
Thanks in advance.