Questions from General Calculus

Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = ln (cos x)

Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = e3x sin4 x

Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = sin4 e3x

Q: Let f (L, K) = 3√(LK).

Let f (L, K) = 3√(LK). Find ∂f/∂L.

Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = sin t / tan 3t

Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = tan 2t / cos t

Q: f (t) = etan t

f (t) = etan t

Q: f (t) = et tan t

f (t) = et tan t

Q: If f (t) = sin2 t, find f ‘(

If f (t) = sin2 t, find f ‘(t).

Q: Show that y = 3 sin 2t + cos 2t satisfies the

Show that y = 3 sin 2t + cos 2t satisfies the differential equation y’’ = -4y.