
Faith C.
asked 10/10/24Calculus please help I am really really struggling
Question 1 (15 points)
Find 𝑓′(𝑥) for the following functions. Do not simplify.
(a) 𝑓(𝑥)=((2𝑥^3)−(3/𝑥)+(5√x)−𝜋)(ln(2sin(𝑥)−8cos(𝑥)))
(b) 𝑓(𝑥)=𝑥2‾‾‾√3−2𝑥+11𝑒𝑥−𝑥𝑒−4
(c) 𝑓(𝑥)=sin(sin(sin(𝑥)))
1 Expert Answer

Bradford T. answered 10/10/24
Retired Engineer / Upper level math instructor
If you review the 7 derivative rules and take these step by step, you shouldn't have any problem with these.
I couldn't make out what (b) is exactly. Probably need to add parentheses to clarify.
f(x)=x2/√3 - 2x + 11ex - xe-4 ??
For (c) this is just using the chain rule 3 times. Start with the inner most and go out. Essentially
For f(g(h(x))) -> h'(x)g'(h(x))f'(g(h(x))
I would be more specific, but I can't answer test questions for you.
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Mark M.
Verify that this is not part of a test/quiz/exam. Getting and giving assistance on such is contrary to Academic Honesty.10/10/24