Question

what's the difference between differentiating

Answer 1

the difference? You mean the definition of a derivative. It involves limits.

Answer 2

\[\sin ^{2} x ,and, \sin 2x\]

Answer 3

\[\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\]

Answer 4

not limits, just differentiate just like f(x)=x^2 --> fprime(x)=2x

Answer 5

they both involve using the chain rule.

Answer 6

sin\(^2\)(x) is the same as [sin(x)]\(^2\)

while sin(2x) is different.