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Encontrar la derivada de $\left(5y-4\right)^2$

Step-by-step Solution

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Final answer to the problem

$50y-40$
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Step-by-step Solution

How should I solve this problem?

  • Hallar la derivada
  • Derivar usando la definición
  • Hallar la derivada con la regla del producto
  • Hallar la derivada con la regla del cociente
  • Hallar la derivada usando diferenciación logarítmica
  • Integrar por fracciones parciales
  • Producto de Binomios con Término Común
  • Método FOIL
  • Integrar por cambio de variable
  • Integrar por partes
  • Load more...
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1

Utilizamos la regla de diferenciación de potencias, la cual dice que si $n$ es un número real y si $f(x) = x^n$, entonces $f'(x) = nx^{n-1}$

$2\left(5y-4\right)\frac{d}{dy}\left(5y-4\right)$

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$2\left(5y-4\right)\frac{d}{dy}\left(5y-4\right)$

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Learn how to solve problems step by step online. Encontrar la derivada de (5y-4)^2. Utilizamos la regla de diferenciación de potencias, la cual dice que si n es un número real y si f(x) = x^n, entonces f'(x) = nx^{n-1}. La derivada de la suma de dos o más funciones equivale a la suma de las derivadas de cada función por separado. La derivada de la función constante (-4) es igual a cero. La derivada de una función lineal multiplicada por una constante, es igual a la constante.

Final answer to the problem

$50y-40$

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Plotting: $50y-40$

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5
6
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
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

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