Prove the following derivative formulas using the derivative rules and the derivatives of sinx and cos , ie a) [csc x] d dx d dx = - [sin x] = COS X csc x cotx b) [sec x] = secx tan x c) [cotx] = −csc² x and d dx -[cos x] = - sin x. ==

Q: Determine the derivative with respect to 'x' of: f(x) = Cos (sin x) - sin(cos.x)

A: We know that the derivative of sinx is cosx  And cosx is -sinx

Q: (5x) S sin(x) tan(x) .........

A:

Q: 5. Let f(x) = sin x cos x a) Determine the first derivative, and the second derivative. b) What is…

A: fx=sinxcosx

Q: co find the exact values for the derivative of f at the given numbers. You

A:

Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

A:

Q: Does cot(x) + tan(x) = csc(x) * sec(x) ?

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Step 1: Step 2: Step 3: Step 4:

Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: Find the derivative of each function. a) f(x) : b) y = tan(sin(2x))

A: take derivatrive as we know,  so we can write

Q: a) Prove that the derivative of b) Find a -(secx) = secxtanx. dx

A:

Q: Find the derivative. cot @ de cac²y dy 70/4 O csc² (cot 8) O csc² 0 cot 0 O-csc²0 csc² (cot 8)…

A: Given query is to find indicated derivative

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: 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: f(x) = sin (cot (secx))

A: The objective of the question is to understand the function f(x) = sin (cot (sec x)). This is a…

Q: i need to find the derivative

A: Given that the function is

Q: Apply the Second-Derivative Test to find all relative extrema of the function  f(x)=cosx-x ,…

A: