49. GU] Find the smallest positive critical point of F(x) = | cos(r3/2) dt and determine whether it is a local min or max. Then find the smallest positive inflection point of F(x) and use a graph of y = cos(r/2) to determine whether the concavity changes from up to down or from down to use up.

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

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A:

Q: Q2//A/ Find the derivatives of the following fiunctions: 1+x -4 1- y 2- y = cscx cot.x + 3- y =eV4x…

A: 1. y = (1+x-4√x)/√x 2. y = cscx cotx + 1/x2 3. y= e√(4x^2+1)

Q: 3. Find f(x) if f'(x) = sec²x - sinx and f(TT/4) = 1. %3D %3D

A: Given: f'(x) = sec2x -sinx  To find: The value of f(x)  and  fπ4.

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A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

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A:

Q: 7. Compute the derivative of y = tan-(Kr) 1. at the point r = K

A:

Q: 2. If f(x) = x , g(x) = 5x and h(x) = x + 4 find each value 1. flg(1)] 2. g[h(-2)]

A:

Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

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A:

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A: To find the derivative of the function fx at x=x0 by Richardson's extrapolation centered finite…

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A:

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A: To Determine: find f'4 Given: consider the function h(x) for which h4=-12 and h'4=-7 also…

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A: To find the critical numbers of f'

Q: Compute central difference approximations for the first derivative of the function, y = cos(sin(x)+…

A:

Q: 2 3 4 5 6 x) 5 6 3 2 9 (x) 4 -1 1 2 ompute -3 نه نه -2 2 7 3 O [ 5 f'(x) dx.

A: we will find the required.

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A: Differentiation of the function helps to find the critical point. Differentiation of the function…

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A: Please check step 2 for the solution.!

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A:

Q: Let P(x) = F(x)G(x) and Q(x) = F(x) where F and G are the functions whose grap G(x) y F 2 -1 4 8.…

A: