differentiating?

Question

Differentiate the following function.
f (x) = 5 cos x + 4/5 tan x
f ' (x) =

Differentiate the following function.
g (t) = 8 sec t + 9 cot t
g ' (t) =

Differentiate the following function.
y = (sin x)/ (x^6)
y ' =

Answer 1

Differentiate the following function.
f (x) = 5 cos x + 4/5 tan x
f ' (x) = -5sin x + (4/5) sec^2 x

Differentiate the following function.
g (t) = 8 sec t + 9 cot t
g ' (t) = 8sec t tan t - 9csc^2 t

Differentiate the following function.
y = (sin x)/ (x^6)
y ' = cos x/(x^6) - 6sinx/(x^7)

Answer 2

f'(x) = -5 sin (x) + 4/5 sec^2 (x)

g'(t) = 8 sec (t) tan (t) - 9 csc^2 (t)

y' = { (x^6) * (cos (x)) - (sin (x)) * (6x^5) } / (x^12)

Answer 3

Open your math book and read