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Find the derivative of $y^2\cos\left(\mathrm{sinh}\left(x\right)\right)-5$

Step-by-step Solution

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Solution

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Final answer to the problem

$-y^2\sin\left(\mathrm{sinh}\left(x\right)\right)\mathrm{cosh}\left(x\right)$
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Step-by-step Solution

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  • Find the derivative using the definition
  • Find the derivative using the product rule
  • 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
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1

The derivative of a sum of two or more functions is the sum of the derivatives of each function

Learn how to solve differential equations problems step by step online.

$\frac{d}{dx}\left(y^2\cos\left(\mathrm{sinh}\left(x\right)\right)\right)$

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Learn how to solve differential equations problems step by step online. Find the derivative of y^2cos(sinh(x))-5. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). Taking the derivative of hyperbolic sine.

Final answer to the problem

$-y^2\sin\left(\mathrm{sinh}\left(x\right)\right)\mathrm{cosh}\left(x\right)$

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Function Plot

Plotting: $-y^2\sin\left(\mathrm{sinh}\left(x\right)\right)\mathrm{cosh}\left(x\right)$

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5
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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
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: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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