Test whether the following functions are increasing, decreasing or stationary at x =5. 1. f(x) = 6x° – 20x2 + 8x – 2 - 2. f(x) =20x – 14x³ + 2x – 40 3. f(x) =e* + In x

Q: b) Find the derivatives of the following functions: (i) 3x+4 y = tan x+5 (ii) y = e* -cos3x + x log.…

A: Derivatives

Q: 12. Given the function y=6x-2, find the derivatives O -6 O 2 O -2 Required

A: Topic:- calculus

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A:

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

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A:

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A:

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A:

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

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A:

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A:

Q: Q2:A/ Consider the function f(x) = 11x+3 -what are the first and second derivatives? -what are the…

A: We will answer the first three subparts of the first question as per our guideline. Please resubmit…

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A: As per guideline we have to solve first three subparts

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A:

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A:

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A:

Q: Find the third derivative of f(1)= 2x(x -1)" Oa 18 b.14cos 13 OC16sim Od12

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A:

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A: we have to find the derivative using definition. as per definition  f'(x)=limh→0f(x+h)-f(x)h

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A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

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A:

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A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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A:

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A: Topic:- derivatives

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A: The objective is to evaluate the derivative of the function at the given point.

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A: Product Rule of differentiation : d(u.v)dx=u.dvdx +dudx.v dxndx = nxn-1 Equation of line passing…

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A:

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A: To determine the linearization for the function.

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A:

Q: 6. у3 In (x*+3х -1)2 V(5x+2) step1 step2

A: Derivative of function

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Q: Q1. Find The derivative of the following functions a) G(2) = ² -dt c² +3 tan b). H(x) = [1² (² + 1…

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A:

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Q: 7. Find the second derivative of the following function: y = e** +In(7e¯* + 5x³) – 5²× +-

A: