Given the following functions: f(u) = tan(u) and g(1) = Find: f(g(1)) = tan(x %3D f'(u) = sec u f'(g(z)) = sec 2,(5) %3D 4 g(1) = 5x ³x{ 5x*) 4 (fo gy(1) = seclx

Q: Consider the function f(x) whose second derivative is f''(x) = 3x +4 sin(a %3D If f(0) = 3 and f'(0)…

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Q: If f(x) = cos x – 7 tan æ, then f'(z) -sin( x ) – 7 sec²(x) = f'(2) =

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Q: 3. Find f. (a) f"(x) = x + 12x² %3D

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Q: If f(x) = sin x 7T find f %3D (a) 1 (b) / 2 2. . т (c) 1– 4 (d) V2 1+ (e) /2 (1- 3)

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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.

Q: Given f''(x) = – 9 sin(3x) and f'(0) = – 4 and f(0) = 5. %3D %D Find f() =

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Q: Given that f"(x) = cos(x), f'(T/2) = 8 and f(T/2) = 6 find: || f'(x) = f(x) =

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Q: Suppose F(x) = | cos(2?)dz. Find F'(x).

A: We have to solve the problem

Q: c If f" (x) = 18 cos 3x and f' (0) = f(5) = 1, find f(x).

A: The solution of the problem is given in the next step.

Q: Find the derivative of f(x) = log, (x° + x – 1). %3D 2 + x - 1 f (2) = %3D (3z* + 1) (In 2) (3z +1)…

A: Given:     fx=log2x3+x-1

Q: 3. If f(x) X-x find F(tanx) 1+x2

A: 7.The given limit is: limx→-∞x23x2-4x+1 To evaluate the value of the limit.

Q: -g(x) = x²sinx cosx . Find g'(x).

A: We will use the product rule of differentiation to find the derivative.

Q: Let f (x) = 4 tan (7x). Find the values of the coefficients in the expressions for f' (x) and f"(x)…

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Q: (a) Let f(x) = sin° (x). Find f'(x). f'(x) = (b) Let f(x) sin (x*). Find f'(x). f'(x) =

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Q: If f(x)=(x-2)(2x + 1)6, th en what is f'(O) ?

A: We will use the product rule and chain rule to find f'(x)

Q: If f(x) = sec(x) tan(x), then f' (1) = __. %3D ANSWER: Blank 1 Blank 1 Add your. answer

A: Solve the function

Q: Solve the initial value problems in Exercises 17 57 d²y 52. sec? x, y(0) = 0 and y'(0) = 1

A: Given: d2ydx2=sec2 x……1y0=0……2y'0=1……3

Q: Find f'(x) for the given f(x). (a) f(z) = 2 - 7V + 9x¯5 f(2) = 104 (b) f(x) = (6x + 1)"(5x2 – 9) (z)…

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Q: If x f(x)+x g(X)= sin x, for nonzero x, then f''(X) + g''(x) is %3D

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Q: x² – 9 Let f (x) -. Find and simplify f' (x) and f"(x). %3D Ax2 + B f'(x) = where A = |-4 B = 54 C =…

A: Given that two function we find its first derivative and also second derivative and after find value…

Q: Given that f"(x) = cos(x), f'(x/2) = 4 and f(r/2) = 7 find: f' (x) = sinx+3 f(x) =

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Q: If f(x) = cos cos x – 7 tan x, then | f'(x) = f'(3)

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Q: f2(x) = (4x + 5)°, f3(x) = (2x² + x)/x, fa(x) = cos(3x) – 2 sin² x,

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: For each pair of functions f and g given below find the derivative of h(x) = f(x) · g(x) using the…

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Q: If f(y) = tan- (3y*), find f' (y). Use exact values. %3D f'(y) =

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