Question

Calculate the higher derivatives. y = tan(x) y'' =    y''' = If f(x) = sin(x)...

Calculate the higher derivatives.

y = tan(x)

y'' =   
y''' =

If

f(x) = sin(x)

and

g(x) = cos(x),

determine the following.

    

f (4n + 1)(x)

 =     

g(4n + 1)(x)

 =
    

f (4n + 2)(x)

 =

g(4n + 2)(x)

 =
    

f (4n + 3)(x)

 =

g(4n + 3)(x)

 =
    

f (4n + 4)(x)

 =

g(4n + 4)(x)

 =


Now, use your answers to calculate

F(159)(x)

when

F(x) = 4 sin(x) + 3 cos(x).

F(159)(x)

=

Find an equation of the tangent line to

y = 3x tan(x)

at

x = π.

Find the values of x on the interval

Math   Calculus   
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