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Calculus
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13 Nov 2019
3. Find the derivative of f(x) sin(tan (In x) 4. Find the derivative of g(x) csc-1(cot(e)) 5. Find the equation of the line tangent to the graph of fx) at the given point f(x) = sec-1(ex); (In 2,-)
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Hubert Koch
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11 Aug 2019
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4. What is the derivative of fx)- (A) se 5x tan 5x? (B) 20 x3 sec2 5x (C) x3 (4 tan 5x - 5x sec? 5x) (D) -x3 (4 tan 5x - 5x sec2 5x) CE) x (4 tan 5x5x sec2 5x) AM wer on the 5. lf sec y = sec2 x, then y = (A) 2sec x tan 2 sec x tan x sec y tan ) sec y tan y (B) f(x)? 2 sec2 x tan (C) 2 sec2 x tan x (D) tan y-2 tan x (E) sec y tan y 6. Given h (x) = f(g(sin x)), what is h'(x) ? (A) cos x à rg(sin x)) à g'(sin x) (B) f(g(cos x)) (C) f(g(sin x)) x f(g(sin x)) (D) cos x à f g(sin x)) à rg(sin x)) (E) -cos x à fg(sin x)) à g(sin x) 7. If y - cse (cot x), then y- (B) -csc2 x cse (cot x) cot (cot x) (D) csc2 x cot? (cot x) (A) -csc (cse x) cot (esc? x) (a) -ese? x cot? (cot x) ec a) (E) cac3 x cse (eot x) cot (cot x)
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4. What is the derivative of fx)- (A) se 5x tan 5x? (B) 20 x3 sec2 5x (C) x3 (4 tan 5x - 5x sec? 5x) (D) -x3 (4 tan 5x - 5x sec2 5x) CE) x (4 tan 5x5x sec2 5x) AM wer on the 5. lf sec y = sec2 x, then y = (A) 2sec x tan 2 sec x tan x sec y tan ) sec y tan y (B) f(x)? 2 sec2 x tan (C) 2 sec2 x tan x (D) tan y-2 tan x (E) sec y tan y 6. Given h (x) = f(g(sin x)), what is h'(x) ? (A) cos x à rg(sin x)) à g'(sin x) (B) f(g(cos x)) (C) f(g(sin x)) x f(g(sin x)) (D) cos x à f g(sin x)) à rg(sin x)) (E) -cos x à fg(sin x)) à g(sin x) 7. If y - cse (cot x), then y- (B) -csc2 x cse (cot x) cot (cot x) (D) csc2 x cot? (cot x) (A) -csc (cse x) cot (esc? x) (a) -ese? x cot? (cot x) ec a) (E) cac3 x cse (eot x) cot (cot x)
jadeweasel254
Numbers 1-3 Derivative
aded Problems (to be handed in): 1) Differentiate each function (Hint: each function can be simplified to leav function to differentiate): cos(x tan (x) sin(x) cot (x) f(x)--csc (x) sec (x) g(x) = In (e34-2-tra) h(x) = arccos(cos(4x + 3))-4x-3
Evaluate the integral. (Remember to use In |U| where appropriate. ) f 3 cos x + sin x / sin2x dx -3/2 In (cot(x) + csc(x) / tan(x) + sec(x)) + c
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Evaluate the integral. (Remember to use In |U| where appropriate. ) f 3 cos x + sin x / sin2x dx -3/2 In (cot(x) + csc(x) / tan(x) + sec(x)) + c
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