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anonymous
 one year ago
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
anonymous
 one year ago
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

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1if \( g(x)=e^{ax}+f(x) \) then \(g'(x) = ???\) and \(g''(x) = ???\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would g'(x)=ae^ax +f'(x)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I understood the first question and finished it but I still need help with the second one.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I finished the problems, thanks for the clue on the problems!

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1cool, 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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