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Here are several problems (differentiation) i have attempted but not completely sure if they are correct

1. The problem statement, all variables and given/known data

differentiate y = sec(e^{x})

3. The attempt at a solution

y = sec(e^{x})

y = sec(u)

(where u = e^{x})

dy/dx = tan(u)sec(u)e^{x}

tan(e^{x})sec(e^{x})e^{x}

If this is correct so far, can it be further factorized?:

e^{x}(tan sec(e^{x}))

1. The problem statement, all variables and given/known data

differentiate y = sec(log(x))

3. The attempt at a solution

y = sec(log(x))

y = sec(u)

(where u = log(x))

dy/dx = tan(u)sec(u) 1/x

= (tan sec(log(x))) / x

1. The problem statement, all variables and given/known data

find thesecondderivative of f(x) = sin(2x) + cos(3x)

3. The attempt at a solution

f(x) = sin(2x) + cos(3x)

f ' (x) = 2cos(2x) - 3sin(3x)

f '' (x) = cos(2x) - 4sin(2x) + sin(3x) - 9cos(3x)

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# Homework Help: A few Derivative Problems

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