Formulla
used
d/dt(e^t)=e^t
Answer with work please Find the derivative. 4et 5) S = 5) 2et + 1 4et...
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Find the derivative of the function. (7nt (7 at 7) s = sin - COS 2. 2 7) 77 (7īt A) COS 2 2 sin 7at 2 2 71 7at 7nt B) COS + sin 2 2 2 2 77 int in (7nt D) COS sin 2 2 2 2 (77) C) cos 7 at 2 + sin
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Find the derivative of y with respect to x. 3) y = -cot-1 6x 3) 7 49 6 42 -42 A) B) C) D) 36x2 + 49 49 - 36x2 36x2 + 49 36x2 + 49
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(1) Find the derivative of each of the following functions: (a) f(t) = ln(3-cost) (6) gle) = VERA (2) (a) Find the linear approximation to y-Vaata 81. (b) Use your answer in (a) to approximate V80. (All work must be shown it is not enough to put this into a calculator!) (3) Find the absolute maximum and minimum of the function h(x) = x + on the interval (0.1, 4).
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1. Find the directional derivative of f(x, y) = x'y at (1, -3) in the direction of - 2i + j. a. 13 13 b. 15 11 c. d. V5 - 11 None of these e.
Chapter 7, Section 7.2, Question 21b 2et-Ze-t 5e2t If A(t) = -4et 2e-t-4e2t 5et 3e - 4e2t and B(t) 2et 4e-t 4e2t) -3et 5e - 3e! .4e- 3e21 5e 22 find AB (4et bett ge 2) -7e7e-t et 8e-7e-? 7e2) 4e2+ + 6 + 15e 31 - 8 - 10e-27-20et 8e31 - 10e + 15e47 -8e2t - 6 - 12e3t 16 + 10e-2 + 16e -16e3+ + 1001 - 12e4t 10e2+ + 9 + 12e3 -20 - 15e -21 -...
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Find the derivative using any method. You don't need to simplify. a. (2 points) f(x) = 2x11 – 17 + b. (3 points) f(x) = x2 tan-1 x c. (3 points) f(x) = d. (2 points) f(x) = ln(33 – 7x)
Please answer all show work. ASAP thank you 1.Use the limit definition of the derivative to prove ? ?? (??(?)) = ?? ′ (?) + ?(?) 6. 2. Assume that ?(0) = 2, ? ′ (0) = 3, ℎ(0) = −1, and ℎ ′ (0) = 7. Calculate the derivatives of ?(5?)/ℎ(4?) at ? = 0. 3. Find the volume of the solid obtained by rotating about ? − ???? the region between ? = ? and ? = ?^...
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QUESTION 4 Find the derivative of the following function. ex+linx QUESTION 5 Find the derivative of the following functions. (x3 + x)?et? QUESTION 6 Find (+Vx2-e8*+Vx+ dx
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Find the derivative of f(1) = In 42 +1 2x + 3 f'(x) =
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a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by multiplying the expressions first. y= (57x + 3) x2 a) Use the Product Rule to find the derivative of the function. Select the correct answer below and fill in the answer box(es) to complete your choice. O A. The derivative is (57x + 3) x2 + . OB. The derivative is ( x + ( vx. O C....