Question

1. Calculate the following derivatives (a) f′(x) where f(x) = e^2x sin(3x) (b) g′(3π/4) where g(x)...

1. Calculate the following derivatives
(a) f′(x) where f(x) = e^2x sin(3x)
(b) g′(3π/4) where g(x) = sec(x) (simplify)
Math   Advanced-Math   
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Homework Answers

Answer #1

Problem (1)

As you can see, is product of two functions and .

So, we may apply the product rule of differentiation: .

i.e.,

--------------------------------------------------------------------------------------------------------------------------

Problem (2)

Given, .

Let .

Now,

By chain rule, we get,

Therefore,

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