What is the first d/(dt)(cosh(t)) ?

The first d/(dt)(cosh(t)) is sinh(t)

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d/(dt)(cosh(t))

\frac{d}{d t} (cosh (t))

sinh (t)

Solution steps

\frac{d}{d t} (cosh (t))

Apply the common derivative:

\frac{d}{d t} (cosh (t)) = sinh (t)

= sinh (t)

d er i v a t i v e cot^{2} (cos (θ))

\frac{d}{d x} ((3 x^{2} - 5)^{4} (2 x^{2} + 1)^{3})

d er i v a t i v e f (x) = tan (sec (cos (x)))

\frac{d}{d x} (tan^{s e c (\frac{1}{x})} (\frac{1}{x}))

d er i v a t i v e f (x) = x^{4} - 6 x^{3}