Hello i have the following exercise: $\displaystyle x(t) = \frac{3}{t^3}$ and $\displaystyle y(t) = e^{tan(t)}$ for which $\displaystyle t$ does the first derivative exists ?
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Originally Posted by coobe Hello i have the following exercise: $\displaystyle x(t) = \frac{3}{t^3}$ and $\displaystyle y(t) = e^{tan(t)}$ for which $\displaystyle t$ does the first derivative exists ? $\displaystyle \mid t \mid \ne 0$
for y(t) dy/dt = e^tan(t) sec^2(t) is defined except for odd multiples of pi/2 --> (2n-1)pi/2 for all integers n. as tan(t) and sec(t) are not defined at these points
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