Find the derivative of each one. a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x a. y = (tan(x2 + 1))4 + 5 In Vx b. с. У-(sin x)cos x
Fill in the blank with the appropriate expression. The period of y tan Bx is _______
dy Find the solution of differential equation: - cot(y). (KER) dx y=K sin(e) y=arcsin(Ket) O y=tan(Kx?) y=Ke* y = arccos(Ke-*) y=sin(e" +K) O
please do #7 the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the derivative of the function y = sin(2x+1). Problem 6. Find the derivative of the function h(x) = sinh(x?). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. I (a) lim x’e-* (b) lim (sin x In x) x0+
5. Evaluate the value of arcsin (-2) 6. Evaluate the expression sin (arcsin (-3)). 7. Evaluate the expression arctan(cos(it)). 8. Evaluate the expression tan (arcsin (-2)
5. Find the derivative of each of the following: (a) (nz) 2 l (e) y-(tan)an o. Fimd the equation of the tangent line to the curve 2 at the point (3, 1
help with this questions. N/B show the working 1 Calculate maximum value of y= arctan ) - ) 2 derivative of arcsin(7) 3 prove int(V1 – 2x2] da = [arcsin(x) + x V1 – x2] 3 int(1 : (x? - 4x + 7) dx =? 4 derivative of abs (arcsin(abs (2))] =? abs = absolute value.
Find the derivative. tan x 9) y = S Ntdt 0
PLEASE SHOW WORK!!!!!! 9) Find the value of the expression. a. cos arctan -- b. tan(arcsin(x)) = 10) From a point on a cliff 85 feet above water level an observer can see a ship. The angle of depression to the ship is 40. How far is the ship from the base of the cliff? sec? x 11) Verify the identity: -tan’x = tan x cotx 12) Find all solutions algebraically in the interval [0, 2T): sec? - 3 tan...
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...