Find the derivative using the product rule $\frac{3}{4}\left(2x+3\right)-\frac{4}{5}\cdot \frac{5}{6}\left(x+4\right)\left(x-2\right)$

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Final answer to the problem

$\frac{3}{2}x+\frac{9}{4}-\frac{2}{3}\left(x+4\right)\left(x-2\right)$
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Step-by-step Solution

How should I solve this problem?

  • Find the derivative using the product rule
  • Find the derivative using the definition
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Load more...
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Simplifying

$\frac{3}{4}\left(2x+3\right)-\frac{2}{3}\left(x+4\right)\left(x-2\right)$

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$\frac{3}{4}\left(2x+3\right)-\frac{2}{3}\left(x+4\right)\left(x-2\right)$

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Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule 3/4(2x+3)-4/5(x+4)5/6(x-2). Simplifying. Solve the product \frac{3}{4}\left(2x+3\right). Multiply the fraction and term in 2\left(\frac{3}{4}\right)x. Multiply 2 times 3.

Final answer to the problem

$\frac{3}{2}x+\frac{9}{4}-\frac{2}{3}\left(x+4\right)\left(x-2\right)$

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Function Plot

Plotting: $\frac{3}{2}x+\frac{9}{4}-\frac{2}{3}\left(x+4\right)\left(x-2\right)$

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7
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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
Dx
|◻|
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:

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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