1- csc x ... Differentiate: f(x) = sec x f' (x) = csc² a – sin æ ... f' (x) = – sin a – sec? x ... f'(x) = – cos e + csc² x (c) ... f' (x) = sec? x + cos x ... %3D

Q: Find h'(x) if h (x) (2 csc x) (5 sin x - 3x). O-2 cot2 x (5 sin x - 3x) O2 cotx (5 cotx - csc x) -2…

A: Givenhx=2cscx5sinx-3x We know that cscx=1sinx We know that dcscxdx=-cscx.cotx Product rule for…

Q: 1- sin x Find the derivative of y = 1+ sin x

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Q: sec dx 3 (4 – tan"x) 2

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Q: Find the critical point of the function f(x) = 3x² – 12x Answer:

A: We will find out all the required values.

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

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Q: (tan x) = fu. v dx = (sin x) = | -=-=dx = (cos x) = fe" dx = | (arcsinx) = sec x tan x dx = secx tan…

A: We have to find out derivative and integral

Q: Find f'a) for f(x)= =Sinx 1- Cos X %3D

A: We have to find the derivative of the given function.

Q: Differentiate f (x) = cos (In x) e“.

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Q: a.) f(x) = sec(e") b.) g(x) = tan¯'(x)+3* +x!5 %3D _1.5

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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: QUESTION 5 Find the derivative. y%3= + 8 sec x Oy'-2- 8 sec x tan x x2 Oy'- - 7. +8 sec x tan x Oy'=…

A:

Q: 1) Find the derivative of f(x) = 1+sin 2x %3D 2 cos3 x

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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: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: cosy = x, so implicit differentiation gives - sin(y)y' = 1, or

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Q: 3x2 tan x Given f(x) answer the following: sec x a) f'(x) = b) f'(5)

A: a. consider the given function, fx=3x2tanxsecx substitute tanx=sinxcosx and secx=1cosx and simplify,…

Q: Find the y'(0) when y = cos (sec²(2x))

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Q: Differentiate f(r)= tan(3x). Use exact values. f'(x) = %3D

A: Given ,f(x)=tan-1(3x)We know that, ddx(tan-1(x))=1x2+1Differentiate w.r.t. xApply chain…