B- Graph the following: ( 1) y = -sin (x-1) +3 Q2) A- Find the derivative of the following: ( 1) y = (1+x²) (x³/4-x-³) 3) f(x) = x²+3 (x-1)³+(x+1)³ 2) f(x) = |tan x + 21 2) y = tan² (cos =) 4) y = x³cot (x² + x)

Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: (a) y = In(sec²x) (b) y ecos + cos(e) x² −1+2 (c) y = x (d) y = sin² (e) y = (f) y = (cos(√sin(x)))…

A: Let's consider  the properties of differentiation.Let f(x) and g(x) are two different function…

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: Find the derivative of each of the following functions, f(x)=sec(√x+cot(x)) a. F(x)= sec x sec (x +…

A:

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

Q: (1+x²-1) y = tan²¹ / √₁+x²

A:

Q: Let f(x) 39 27 O 1 4√3 O-√6 9 3√3 .-1 (²). Then the second derivative at x = -1,f"(-1), equals = COS

A:

Q: The derivative of y = 3cos(8x+6) is: 1. y' = 24 sin (8x+6) 2. y' = -24 sin (8x+6) 3. y' = -24 cos…

A:

Q: f (x) = sin (cos(tan x))) find its derivative

A: Consider the provided function, fx=sincostanx Find the derivative of the function with respect to x.…

Q: If f(x) f'(æ) = cos x – 7 tan x, then

A: