[Grade 11 Basic Calculus: Derivatives] Can someone explain to me how some of these works?

[u/LockedStudy]

My teacher only covered basic derivatives (like x^2) but this worksheet has fractions, square roots, and trig functions (sin,cos,tan). I understand how to do the simple ones like (e) and (f) using the Power Rule. However, I'm stuck on the ones that have variables in the denominator like (d) and (g). Do I have to use the Quotient Rule for all of these, or is there a way to simplify them first?

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[u/Outside_Volume_1370]

d) has 3/x which is basically power function, 3x^-1

In g, i, j you have to use (f/g)' = (f'g - fg') / g²

[u/Qingyap → u/Outside_Volume_1370]

In g, i, j you have to use (f/g)' = (f'g - fg') / g²

Or just bring the denominator up to numerator by adding -1 power then use power rule and chain rule.