Sheet (1) Fourier series -Sketch or graph f(x) which for - -cos² t -π

Q: The derivative of the function y = (10e* – 10x*)(tan x) is: a. y' = (e* – 40x3) tan x + (10e* –…

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Q: For x = R, f(x) = log2 - sinx| and g(x)=f(f(x)), then (1) g'(0)=-cos(log2) (2) g is differentiable…

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Q: -. For the function f, f '(x) =x² -1 and f(4) = -1. What is the approximation of f(3.9) found by…

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Q: cos' x+cos'x dx is sin x+sin'x Q 9. The value of the integral

A: Introduction :

Q: csc(x) – 1 sec(x) Differentiate: f (x) = (A f'(x) = - csc²(x)+ sin(x) B B f'(x) = - csc2(x) – cos(x)…

A: We can use differentiation of trigonometric function rules to find the derivative of the given…

Q: 3) f(x) = ln(x5 - cos²x) 5) f(x) = xsinx 4) f(x) = x² 1 + x³ 1 6) f(x) = x¹ tan- X

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Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…

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Q: Setting x= cos or cosho show that Tn(x)==[(x + √X²_₁ )² + (x-√x ²₁ ²]

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Q: sin x 2. Find f'(x) if f(x) = 1 - cos x %3D 1 3. Simplify your result in (2) to show that f'(x) %3D…

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Q: Find the derivative of g(x) = e * x). sin (1+ 0-3x²e*cos(1+x°) O xe*1sin(1+x°)+3x²e*cos(1+x) O…

A: The product rule of derivatives states that duv=u'v+v'u.

Q: prove that f(x) = sin*x + cos*x is a periodic function with periods

A: We use the Given Equations Prove that f(x) is a periodic function with period pie/2.

Q: Let G(z)- sec 0 de for z in [0, 1]. Find G" (z).

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Q: cos(x) sin (2x) lim x X sin(x) – 1

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Q: The derivative of the function y = (3e* – x²)(cos x) is: a) y' = (3e* – 2x) cos x – (3e* – x²) sin x…

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Q: (8) Find the derivative of the functions (i)h(x) = sin 2.x cos 2x (ii) f (x) = cos (tan 4.x) 1 =-…

A: We need to differentiate the given function. We will use different method of differentiation . ( As…

Q: Find the derivative of the following function. [In(2*)]* O 24|In(2*)]* 24|In (2*)]* 24|In(z")]* 24|…

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Q: Find the derivative. y= 4/x) + 5 sec x

A: The given data is: y=4x+5 secx  To find derivative.

Q: 3-f(x) = tanh¯1(cos(e*))

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Q: B- Graph the following: ( 1) y = -sin (x-1) +3 Q2) A- Find the derivative of the following: ( 1) y =…

A: We have to find part B and question 2) part A (1 to 4).

Q: Find derivative of f(x) = In (3x²-x) O (6x-1)/(3x²-1) O-1/(3x²-x) O6x/(3x²-x) O (6x-1)/(3x²-x)

A: given f(x)=ln3x2-x we know (i) d dx(lnx)=1x(ii) d dx(xn)=nxn-1

Q: (2 sinx if 0< x< T Graph g (x) cosx + 1 if < x< 27

A: gx=2sinx       if    0≤x≤πcosx+1   if    π&lt;x≤2π

Q: sin?x If h (x) = | . (t² + 1) dt for – <x < 7, then h' (x) CSC 4 (A (a4 + 1) CSC B) (sinºr + 1) CSC…

A: Let's find.

Q: Find the absolute extreme values for the given function on the given intervals. (It says I can use…

A: The given functions are (a)  on (b)  on

Q: S tan -) dx = a) x tan-1 (-) +÷In(x² + 1) + C b) x tan-1 () +글x2-글In(x2 + 1) + C c) x tan-1 (는) +글x2…

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Q: Question 1 Let f (x) = x³ + 2x³ + 7x + 1 Find (f -1)' (a) for a = 1 . O (f -1)' (1) = 4 O (f -1)'…

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Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

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