Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x = using value of h = 12' O 4(√3-3) ㅠ O 12(√3-1) ㅠ O 6(1-√2) ㅠ O 6(-1+√2) π ○ 6(√3-√2)

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 4,    f '(0) = 2

A: f''(x)= sin(x) + cos(x) , f(0)=4 ,f'(0) = 2

Q: Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

A:

Q: Does the function cos x х f(x) = 0, x = 0 have a derivative at x = 0? Explain.

A:

Q: Find the derivative of f(x) = cos*(x) + cos(x) with no in final answer negative exponents

A: We know that the derivative of sinx= cosx and cosx=-sinx

Q: Calculate first 8 derivatives of f (x) = sin(x). What is the pattern and what's the 208th derivative…

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

A: The derivative is calculated as:

Q: Find f. f ''(?) = sin(?) + cos(?),    f(0) = 5,    f '(0) = 2 f(?) =

A: Given that        f"( θ) = sin(θ)+cos(θ)  The initial condition is f(0)=5 and f'(0)=2 We have to…

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: Find f'(x) where f(x) sin(cos(4x2 +1))

A: Consider the given function

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…

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Q: Find f. f ''(?) = sin ? + cos ?,    f(0) = 1,    f '(0) = 3

A:

Q: 1½-sin² x 2 x. Find the second derivative of y = ½ sin Oy" = COS x Oy" y" = cos² x - sin² x о 2 y" =…

A: