If f(z) = 6tan(z) , then f'(r) = (A) In(6) 6tan(2) (B) sec2(z) 6tan(2) (C) In(6) sec2() 6tan(z) (D) 6tan(z) (E) tan(x) 6tan(2)–1

Q: Let F(z) = f(cos(x)) · sin (금) and G(x) = f(sin(x)) · cos : (주) and suppose that f(0) = 5, f(1) =…

A: We have to find

Q: If 17e" +8 sin(x) f(x) = (e'3 cos(x)) f'(0) then f(0)

A: In this first we find f'(x) by using derivatives formula I solved complete in 2nd step

Q: Let f(x) = (sin(x))*. Find the value of (a) 1 (b) 2 (c) 2 (d) 2 (e) 0

A: The given function is fx=sinxx. To find the value of f'π2, first take the logarithmic of fx=sinxx on…

Q: csc(x) – 1 sec(x) Differentiate: f (x) = (A f'(x) = - csc²(x)+ sin(x) B B f'(x) = - csc2(x) – cos(x)…

A: We can use differentiation of trigonometric function rules to find the derivative of the given…

Q: Let f(x) = x* + 4x° +7x + 2x. Then f'(x) is andf (4) is f"(x) is and f''(4) is

A: Let f(x) = x4 + 4x3 + 7x2 + 2x We need to calculate the derivative and double of this function with…

Q: If u(s) = -11 ((s)°) (cos(s)), then: а) u' (s) = 11s (s)') sin(s) – 55s(s)*(cos(s)) – 11 ((s)°)…

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Q: 5. Use the chain rule to compute the derivatives. a) f(x) = sin²x = (sin x)² b) f(x) = sin(x²) c)…

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x)). You also know that f(8) = 6, f(6) = 3, f'(6) = 14, f'(8) = 3…

A: F(x) = f(f(x))F'(x) = dF(x)dx = df(f(x))dxF'(x) = f'(f(x))f'(x)F'(8)=f'(f(8))f'(8)        =…

Q: Suppose f(x) = 3*sec(3*) tan( 3*). Evaluate: / s(x)dx sec(3*) A +C In (3) 3*. sec(3*) +C B In (3) ©…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(4) = 11, f(11) = 3, f'(11) = 8, f'(4) =…

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Q: If f(x) = cos-(r"), then f'(x) = (A) (B) (C) (D) (E) -32? sin-(æ³) (A) O (B) o (c) O (D) (E)

A: We have to find derivative

Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

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Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: Find f if f'''(x)=cosx,f(0)=1,f(0)=1,f'(0)=2,f''(0)=3

A:

Q: If f(z) = 3 sin (z) then f'(z) =

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(3) = 9, f(9) = 3, f'(9) = 12, f'(3) = 5…

A: Given functions are Fx=ffx and Gx=Fx2. Also we have given f3=9,f9=3, f'9=12, f'3=5 Differentiating…

Q: Let h(x) tan(5x + 7). Then %3D h'(4) is and h''(4) is

A: As in question it is not mentioned wheather we have to considered degree or in radian inside…

Q: Let f(x) = x' - 3x° + 2x- 2x 5. %3D Then f'(x) is f'(4) is f"(x) is and f''(4) is

A:

Q: F(x) = f(f(x)), G(x)= (F(x))2 f(6)=11, f(11)=2, f'(11)= 14, f'(6)=14 F'(6)= ? G'(6)=?

A: given: F(x)=f(f(x),  G(x)=(F(x))2 f(6)=11,f(11)=2,f'(11)=14,f'(6)=14

Q: Let F(x) = f(x) and G(x) = (f(x))*. You also know that a³ = 12, ƒ(a) = 3, ƒ'(a) = 5, ƒ' (aº) = 8…

A: If we consider a function y which is a function of x only. Then, the derivative of y with respect to…

Q: Let F(x) = f(x) and G(x) = (f(x))³. You also know that a = 3, ƒ(a) = 3, ƒ'(a) = 11, f'(a³) = 9 Then…

A:

Q: F(s) = Le 4t cos(5t)}

A: We have to find  ℒe-4tcos5t Remember : ℒeatf(t)=Fs-a where  ℒf(t)=Fs

Q: Y(6) = cot(5s)- 3 tan s - csc (5s)- 3 sec' s s:y (s) |

A:

Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

A:

Q: Let F(x) = f(x*) and G(x) = (f(x))* . You also know that a' = 11, f(a) = 2, f'(a) = 2, f'(a*) = 11…

A:

Q: Let F(æ) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 10, f(10) = 2, f'(10) = 3, f'(3) =…

A:

Q: 9) Find f(x) if f'(x) = 7 sin x + 2x - 3 and f(0) = -3

A: Obtain f(x) by integrating the given first derivative as follows.

Q: d dx x= ||

A: Given that

Q: = (F(x)). Let F(x) = f(f(x)) and G(x) You also know that f(3) = 12, f(12) = 3, f'(12) = 7, f'(3) =…

A:

Q: Let F(x) = f(x³) and G(x) = (f(x))³. You also know that a² = 11, f(a) = 3, f'(a) = 6, ƒ' (a³) = 14…

A:

Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

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