diwanamrmznu

Solve the following differential 

dx/dt= t³/(x²+1)

 Evaluate the limit (ln sin x)/(ln tan x) as x approaches to 0.

a. 1

b. 2

c. ½

d. α

The function y = (x – 4)/(x + 2) is discontinuous at x equals?

a. -2

b. 0

c. 1

d. 2

Find the derivative of loga u with respect to x.

a. log u du/dx

b. u du/ln a

c. loga e/u

d. loga du/dx

Find y’ if y = ln x

a. 1/x

b. ln x2

c. 1/ln x

d. x ln x

Find y’ if y = arc sin (x)

a. √(1 – x2)

b. 1/√(1 – x2)

c. 1/(1 + x2)

d. (1 + x)/√(1 – x2)

Find the derivative of arc sec (2x)

a. 1/[x√(4x2 – 1)]

b. 2/[x√(4x2 – 1)]

c. 1/[x√(1 – 4x2)]

d. 2/[x√(1 – 4x2)]

derivative of y=2x+24