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6. Derivatives!! ITEMS 12. (1 point) Differentiate f (x) = log, X. f'(x) = Submit answer...
(1 point) Find the partial derivatives of the function f(x, y)cos(12 3t 6) dt
2. [3 marks] Consider the function f(x,y) = log (– 2y). (a) Find the partial derivatives (b) Find an equation of the tangent (plane) to the surface of f at the point (3,1, f (3,1)).
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Find the indicated partial derivatives. F(x, y, z) = Py(6, 1, -1) X + y + (6, 1, -1) Submit Answer
Problem 3. PREVIEW ONLY -- ANSWERS NOT RECORDED Differentiate f(x) = \n(.x + 1). Entered Answer Preview Problem 4. PREVIEW ONLY -- ANSWERS NOT RECORDED Differentiate f(x) = stan(tan(s)) Answer: f'(x) =
Use the limit definition of partial derivatives to compute the partial derivative of the function f(x,y) = 6 - 6x + 5y - 3x2y at a point (3,4). a. Find f,(3,4). b. Find f(3,4). 1,(3,4)=0 (Simplify your answer.) 12(3,4)=0 (Simplify your answer.)
3. (6 points each) Differentiate the following functions. Do not simplify your answer. a. f(x) = 2*+1 In (x+1) b. p(x) = [arctan (x)]3 c. Q(x) = ex-sec(x)
Step 1 Differentiate f(x) = -5x2 + 20x + 4 with respect to x. f'(x) = Submit Skip_(you cannot come back)
evaluate the first limit
13] 3. Differentiate the following. Simplify your answers. a. f(x) = (x-2)2 (x + 3)" 131 r+1 b. f(x)s 131 x+1 Page 3 of 12
13] 3. Differentiate the following. Simplify your answers. a. f(x) = (x-2)2 (x + 3)" 131 r+1 b. f(x)s 131 x+1 Page 3 of 12
Please help me answer these 2 questions
Find all first partial derivatives. f(x, y) = 5x + 4y - 3 (, y) = f(x, y) = = Differentiate implicitly to find dy dx xx2 x + y = 5 dy II
(d) f(x) = (1 + x) ln(1 + x) Hint: differentiate. (4) Expand the following functions into power series centered at 0 and find the radius of convergence. You can either use geometric series method, known expansions, or derivatives. You don't have to analyze the remainder.