Calculus, derivative help...?

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Find the derivative of the function y = cos(e^x)

2007-03-28 04:08:14 · 3 answers · asked by dirtjeeprider 2 in Science & Mathematics ➔ Mathematics

y ' = -sin(e^x) * ( e^x)'
= -e^x sin(e^x)

2007-03-28 04:14:55 · answer #1 · answered by hustolemyname 6 · 0⤊ 0⤋

dy/dx = -(e^x)*sin(e^x). Using the chain rule

2007-03-28 04:15:23 · answer #2 · answered by Anonymous · 0⤊ 0⤋

Let u = e^(x) so du/dx = e^(x)
y = cos u and dy/du = - sin u = - sin (e^(x))
dy/dx = (dy/du).(du/dx) = - sin(e^(x)).e^(x)

2007-03-28 04:44:31 · answer #3 · answered by Como 7 · 0⤊ 0⤋