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Find the derivative using the product rule $\frac{x^5+\left(2\sqrt{3}+2\right)x^3+2\sqrt{2}+7}{x-\sqrt{2}+1}$

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Solution

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Final answer to the problem

$\frac{x^5+5.4641016x^3+9.8284271}{x-0.4142136}$
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Step-by-step Solution

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1

Simplifying

$\frac{x^5+\left(3.4641016+2\right)x^3+2\sqrt{2}+7}{x-\sqrt{2}+1}$
2

Simplifying

$\frac{x^5+5.4641016x^3+9.8284271}{x-0.4142136}$

Final answer to the problem

$\frac{x^5+5.4641016x^3+9.8284271}{x-0.4142136}$

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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 (x^5+(23^0.5+2)x^3)/(x+-12^0.5) using the quotient ruleFind (x^5+(23^0.5+2)x^3)/(x+-12^0.5) using logarithmic differentiationFind (x^5+(23^0.5+2)x^3)/(x+-12^0.5) using the definition

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Function Plot

Plotting: $\frac{x^5+5.4641016x^3+9.8284271}{x-0.4142136}$

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5
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7
8
9
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: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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