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Find the derivative of $\frac{\left(1-x\right)^3}{2}$

Step-by-step Solution

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Solution

Formulas

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Final Answer

$-\frac{3}{2}+3x-\frac{3}{2}x^2$
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Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(\frac{\left(1-x\right)^3}{2}\right)$

Specify the solving method

1

Expand and simplify

$-\frac{3}{2}+3x-\frac{3}{2}x^2$

Final Answer

$-\frac{3}{2}+3x-\frac{3}{2}x^2$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Find the derivativeFind d/dx(((1-x)^3)/2) using the product ruleFind d/dx(((1-x)^3)/2) using the quotient ruleFind d/dx(((1-x)^3)/2) using logarithmic differentiationFind d/dx(((1-x)^3)/2) using the definition

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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

How to improve your answer:

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Main topic:

Product Rule of differentiation

Used formulas:

7. See formulas

Time to solve it:

~ 0.06 s

Related topics:

Product Rule of differentiationDifferential CalculusBasic Differentiation RulesBasic DerivativesCalculusPower Rule for DerivativesSum Rule of DifferentiationConstant Rule for DifferentiationQuotient Rule of differentiation

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