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Find the derivative $\frac{d}{dx}\left(\frac{\sin\left(x^2\right)}{\cos\left(x\right)}\right)$

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Solution

Formulas

Videos

Derivatives of sec(x) and csc(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=TDJ5nXWEkWM

Calculus - How to use the chain rule with trigonometric functions, g(x) = sin(x^2)

https://www.youtube.com/watch?v=VyJXnKjRcjk

Worked example: Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=Iur13MNO0Ro

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Calculus - Using the power rule of logarithms to take the derivative of a natural log, d(ln(x^2))/dx

https://www.youtube.com/watch?v=JIq0y4ST7tc

Learn how to find the derivative of tangent using the quotient rule

https://www.youtube.com/watch?v=xMs4q6OEb0I

Function Plot

Plotting: $\frac{2x\cos\left(x^2\right)\cos\left(x\right)+\sin\left(x^2\right)\sin\left(x\right)}{\cos\left(x\right)^2}$

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0
a
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g
m
n
u
v
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Similar Problems Solved

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$\frac{d}{dx}\left(\frac{\sin\left(x\right)}{x^2}\right)$

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$\frac{d}{dx}\left(\sin^2\left(x\right)\right)$

$\frac{d}{dx}\sin\left(x^2\right)$

$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

Main Topic: Quotient Rule of Differentiation

The quotient rule is a formal rule for differentiating problems where one function is divided by another.

Used Formulas

See formulas (4)

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