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Simplify the expression $g\left(x\right)=-2x^4+x^2-3x$

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Solution

Videos

Calculus - Learn how to take derivative using quotient rule by simplifying first, f(x)=x(1- 4/(x+3))

https://www.youtube.com/watch?v=Mqjiw5Ax_4w

Negative powers differentiation | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=W233qRK6HPs

Worked example: Quotient rule with table | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=ZAElYVh5DXU

Quotient rule and common derivatives | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=E_1gEtiGPNI

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

Function Plot

Plotting: $g\left(x\right)+2x^4-x^2+3x$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻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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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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