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

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Identify the surface with parametrization x = 3 cos θ sin φ, y = 3 sin...
Identify the surface with parametrization x = 3 cos θ sin φ, y = 3 sin θ sin φ, z = cos φ where 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π. Hint: Find an equation of the form F(x, y, z) = 0 for this surface by eliminating θ and φ from the equations above. (b) Calculate a parametrization for the tangent plane to the surface at (θ, φ) = (π/3, π/4).
13. Consider f(x)=sqrt x-2 a) Using any of the three limit formulas to find f ′...
13. Consider f(x)=sqrt x-2 a) Using any of the three limit formulas to find f ′ ( a ), what is the slope of the tangent line to f ( x )at x = 18? (6 points execution, 2 points notation) b) Find the equation of the tangent line at x = 18 14. State the derivative. a) d/ d x [ x ^n ] b) d /d x [ cos ⁡ x ] c) d /d x [ csc...
Find the values of sin x, tan x, cot x, sec x, and csc x and...
Find the values of sin x, tan x, cot x, sec x, and csc x and cos x given that cos(2x)=(3/5) and 3 π /2 < 2x <2 π
Let f(x, y) = x tan(xy^2) + ln(2y). Find the equation of the tangent plane at...
Let f(x, y) = x tan(xy^2) + ln(2y). Find the equation of the tangent plane at (π, 1⁄2).
1. Calculate the following derivatives (a) f′(x) where f(x) = e^2x sin(3x) (b) g′(3π/4) where g(x)...
1. Calculate the following derivatives (a) f′(x) where f(x) = e^2x sin(3x) (b) g′(3π/4) where g(x) = sec(x) (simplify)
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y =...
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y = g(θ) for this curve. b) Find the slope of the line tangent to this curve when θ=π. 6) a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi). b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the...
3. Find the equation of the tangent line to the curve 2x^3 + y^2 = xy...
3. Find the equation of the tangent line to the curve 2x^3 + y^2 = xy at the point (−1, 1). 4. Use implicit differentiation to find y' for sin(xy^2 ) − x^3 = 4x + 2y. 5. Use logarithmic differentiation to find y' for y = e^4x cos(2x) / (x−1)^4 . 6. Show that d/dx (tan (x)) = sec^2 (x) using only your knowledge of the derivatives of sine/cosine with derivative rules. 7. Use implicit differentiation to show that...
1). Use the techniques of differentiation to find the derivatives of the following functions a). f(x)=...
1). Use the techniques of differentiation to find the derivatives of the following functions a). f(x)= (2 sqrt x + 1) (2-x/x^2+3x) b). f(x)= cos^2 (3 sqrt x) c). f(x) = Sin x/(x^2 + sin x)
Find the derivatives of each of the following functions. DO NOT simplify your answers. (a) f(x)...
Find the derivatives of each of the following functions. DO NOT simplify your answers. (a) f(x) = 103x (3x5+ x − 1)4 (b) g(x) = ln(x3 + x) / x2 − 4 (c) h(x) = tan-1(xex) (d) k(x) = sin(x)cos(x)
1.) Let f ( x , y , z ) = x ^3 + y +...
1.) Let f ( x , y , z ) = x ^3 + y + z + sin ⁡ ( x + z ) + e^( x − y). Determine the line integral of f ( x , y , z ) with respect to arc length over the line segment from (1, 0, 1) to (2, -1, 0) 2.) Letf ( x , y , z ) = x ^3 * y ^2 + y ^3 * z^...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT