(x' if x<1 9. If f(x) = 2 if x=1 then it has x-2 if x>1 a) Removable DC (b) Jump DC (c) Infinite DC (d) Removable and Jump DC 10. The definition of the first derivative of a function f(x) is a) f(x) = f(x+Ax)+f(x) Ax f(x+Ax)+f(x) (c) f(x) = f(x+Ax)-f(x) Ax (b) f(x) = lim Ax f(x+Ax)-f(x) (d) lim Ax-0 Ax 11. Given y = 5e" + sinx , dy is dx a) 5e* + cosx (b) 15e* + cosx (c) 15e- sinx (d) 2.6666e* + cosx 12. f(x) = , is f differentiable on the given interval a) (0,2) (b) [0 ,2) (c) (-∞ ,) (d) [-∞, ] 13. The Tangent line of y = sinx is horizontal at the point- a) x = IT, ± 2n (b) x = + (c) x = 2 3n (d) x = + nn for any integer n 2 2.

Q: Let f'(x) = f(x) = = 4x √8 - 6x

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Q: For each of the above functions, prove that f(f-1(x)) = f-1(f(x)) = f(x) = +6 f(x) = x3 + 2 f(x)…

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Q: Evaluate f''(c) at the point. f(x) = (x2 - 4)(x3- 2), c = 1

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Q: 16. The derivative of the function f(x)= x - X +2 is X - 1 (x* - 2) V a) b) (x? -2) Vx x? - 2 d) X +…

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Q: Suppose that f(x) = f'(2) = -2 x6 Evaluate the following: ←

A: f(x)=-2x6d dx(xm)=mxm-1

Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: Let f(x) be a one-to-one function such that f(2)=5 and f'(2)=-4.  Find f(-1)'(5)

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Q: Let x + 4 f(x) x + 9 f '(- 1) =

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Q: Let x +1 f(x) = x + 9

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Q: Let x + 2 f(x) x + 6 1( – 10) - -

A: Given f(x)=x+2x+6

Q: Find f'(x) and simplify. X X-19 f(x) = Which of the following shows the correct application of the…

A: Given that       f(x) = x/(x-19)

Q: Give two function f(x) and f(x) such that the f''x is equal to -2.

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Q: Find f such that f'(x)=6x-5, f(6)=0. f(x) =

A: Just i have integrate the given function and then use the given initial condition and then find the…

Q: Determine whether the functionf is one-to-one by examining the sign of f' (x). (a)ƒ(x) = x³ + 9x2 –…

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Q: Find the derivative of f(x) = V9x8 + 9x (72z + 9)-1/2 (92 + 9x) 1/2(72x + 9) O (928 + 9x)-1/2 -(928…

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Q: Let f(x) be a polynomial function, whose derivative is given by f'(x). Let line q be the line…

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Q: Determine f '(x) from the first principles if f (x) = -2 -3x

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Q: let H(x)(1+x^2)^3. find f and g such that f(g(x))=H(x)

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Q: f(x) 9(2) where f(-3) = 7, f' (-3) = –9, 9(-3) = –2, and g'(-3) = 1. What is h' (-3)? Let h(x) Do…

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Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). O…

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Q: Determine whether the functionf is one-to-one by examining the sign of f' (x). (a)ƒ(x) = x³ + 9x² –…

A: first we look at the sign derivative if  f'x&gt;0 or  f'(x)&lt;0   for all x in their domainthen…

Q: If f(x) = e, how many zeros does f'(x) have on the closed interval [0,2x]? (A) One (В) Two (C) Three…

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Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

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Q: if fi(x) = xand f,(x,) = xf(x»x2) = Is this function independent true false

A: Function is independent if f(x1,x2) = f(x1) f(x2).