anonymous
  • anonymous
Help with calc please? The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 1. The function g is given by g(x)=e^ax+f(x) for all real numbers, where a is a constant. Find g ′(0) and g ″(0) in terms of a. 2. The function h is given by h(x)=cos(kx)[f(x)]+sin(x) for all real numbers, where k is a constant. Find h ′(x) and write an equation for the line tangent to the graph of h at x=0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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IrishBoy123
  • IrishBoy123
if \( g(x)=e^{ax}+f(x) \) then \(g'(x) = ???\) and \(g''(x) = ???\)
anonymous
  • anonymous
would g'(x)=ae^ax +f'(x)?
anonymous
  • anonymous
I understood the first question and finished it but I still need help with the second one.

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anonymous
  • anonymous
I finished the problems, thanks for the clue on the problems!
IrishBoy123
  • IrishBoy123
cool, well done and yes if \(g(x) = e^{ax} + f(x)\) then \(g'(x) = ae^{ax} + f'(x)\) and \(g''(x) = a^2e^{ax} + f''(x)\)

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