What is the derivative of cosh(cos(x)) ?

The derivative of cosh(cos(x)) is -sinh(cos(x))sin(x)

What is the first derivative of cosh(cos(x)) ?

The first derivative of cosh(cos(x)) is -sinh(cos(x))sin(x)

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\frac{d}{d x} (cosh (cos (x)))

- sinh (cos (x)) sin (x)

Solution steps

\frac{d}{d x} (cosh (cos (x)))

Apply the chain rule:

sinh (cos (x)) \frac{d}{d x} (cos (x))

= sinh (cos (x)) \frac{d}{d x} (cos (x))

\frac{d}{d x} (cos (x)) = - sin (x)

= sinh (cos (x)) (- sin (x))

Simplify

= - sinh (cos (x)) sin (x)

x \to 0 lim (\frac{sin ( 2 x )}{arcsin ( x )})

\frac{d}{d x} ((x^{2} + 5)^{7})

f (x) = ln (e^{- x} + x e^{- x})

\frac{3 t ^{5} - 1}{x ^{2} + 2}

\int 10 t^{2} + 7 t - 9 d t

What is the derivative of cosh(cos(x)) ?
The derivative of cosh(cos(x)) is -sinh(cos(x))sin(x)
What is the first derivative of cosh(cos(x)) ?
The first derivative of cosh(cos(x)) is -sinh(cos(x))sin(x)