Find the derivative of f (x ) =V sech( In (8x + 1)) - sech(In(8x + 1)) tanh( In(8x + 1)) A 2/ sech( In ( 8x + 1)) 4sech(In( 8x + 1)) tanh(In( 8x + + 1)) B (8x + 1) / sech(In(8x + 1)) - 4sech(In(8x +1)) tanh(In( 8x + 1)) (8r+1) / sech(In (8x + 1)) sech(In(8x + 1)) tanh(In(8x+ 1)) D 2/ sech( In (8x +1))

Q: ●y = (x+1)² √x+1 W= t+1 t-1 -t -)×(1-1 1-2t

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Q: (b) F₂(x) = F₂'(x) = 9 4(x4 + 1)5 (d) F4(x) = F4'(x) = X 4 (c) F3(x) = (9x² + 1)5 4 F3'(x) = 9 (4x4…

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Q: p(q)=2q^2-4q+5; q=2 find the derivative

A: We know that fx=xn then f'x=nxn-1. We have, pq=2q2-4q+5 Calculating derivative of function pq with…

Q: Vx 3+x (g(x)) if g(x) = 3x +2 + S, * ** dx c) %3D

A: I applied Leibnitz rule

Q: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: Find the derivative of: f(x) = 5x^2 / x+47   5x^2 - 470 / (x+47)^2 3x^2 + 470 / (x+47)^2 5x^2 +470…

A: Given query is to find the derivative of the expression.

Q: y= (x+1)(√2x^2-1) •s= (t^2 - 4t +4)/(t^2-5t+6) 3:54 PM

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Q: f(x)=(16x^3+24x^2+3x) (7x-1)/(15x^3+20x^2+5x) what is the derivatives

A: f(x)=(16x3+24x2+3x)(7x-1)(15x3+20x2+5x) To find derivative we apply product rule and quotient rule…

Q: Find the derivative of the function f(x)= 7arcsin(x - 9). 7 f"(x) = (x-9)-1 7 f'(x)= (x - 9) - 1 7…

A: we know that ddxsin-1x=11-x2

Q: 5е + 6 Find the derivative of g(x) 4x10 + 6x9

A: Formula used: Quotient rule of differentiation: ddxuv=u'×v-v'×uv2 Power rule of differentiation:…

Q: Assume a function such that Y = (2x410)/(6x² + 5x). Obtain the first derivative. O f'(X) = (8x³ -…

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Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

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Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = O None of these. f'(x) =…

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Q: Find the first and second derivatives of the function. f(x) = (7x² + 6)7/2 r'(M) = | 49x(7x² + 6)…

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Q: Let f(x) = 2x ^ 3 – 7x + 3x ^ 7 – 2. Find the 4th order derivative evaluated at x=2. A

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Q: Find the derivative of: g(x) = 6x^2/(2-x)   24x+6x^2/(2-x)^2 24x^2 -6x^2/(2-x)^2 24x -6x^2/(2-x)^2…

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Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

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Q: Find the derivative of f(x) = 4sinxcosx-5sinx. a.) f(x) = -4sinxcosx + 5cosx b.) f'(x)=4cos²x-4sin²x…

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Q: Use the Product Rule or Quotient Rule to find the derivative. f(z) = (3x-²+5) (-4x−³+4). ○ f'(z) =…

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Q: Find the derivative of f(x)= O f'(x)= O f'(x) = 15x4 O f'(x)= 48x5-150x¹+38 (2x-5)² O f'(x)= 6x5-19…

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Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = None of these. f'(x) = f'(x)…

A: topic- derivative of a function quotient rule:uv'=vu'-uv'v2