If f (x) = x²cos-(x² – 4), what is f'(x)? 2x3 o f'(x) = 2xcos-'(x² – 4) – V 1-(x²-4)² 2x3 o f'(x) = 2xcos-'(x² + 4) + V1-(x²-4)° 2x f'(x) = 2xcos-'(x² – 4) + 2 /1-(x²–4)' o f'(x) = 2xcos-(x² – 4) – 1-(x²+4)² |

Q: Question 26 Find y' by implicit differentiation for 2y³+4x2 – y = x6 . - V 6x5 – 8x (A 6y2 – 1 6x+…

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Q: and f' (0) = 0 and f(0) = –3. Find f' (x) = and find f(1)

A: Here we have, f''(x)=5x-2 ................................ (1). f'(0)=0 and f(0)=-3 We have to find…

Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

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Q: If f(x) = (5x +7)°, then the value of (f-1 (x))' at (f(-1),-1) is

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Q: Let h(x)=f(x)g(x) where f(x)=−4x^2−5x+1, g(1)=−5, and g′(1)=−4 what is h′(1)?

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Q: Q1/ Choose the correct answer: ( (1) The functions f. g and h are related by f(x) = g(x+1), g'(x) =…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Find f. f(x) = f'(x) = −2+ 24x 12x², -x² + 4x³-x² + 14x+8 x - f(0) = 8, f'(0) = 12

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Q: x²+2x=1 then f'(1) is Let f(x) = 2x3+1

A: we have given f(x). And we have to find f'(1)

Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(-1) = −2, find f'(-1). ƒ'(-1) =¯

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let f(x)=9cosx−4tanx f′(x)=    f'(7π/6)=

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Q: Given f''(x) = 8x – 5 and f'( – 3) = 1 and f( – 3) = – 2. Find f'(x) and find f(2) =

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Q: Find the third derivative of f(x) = 3√x³-5cosx. 45 O f(x)= 4553 9 O f(x)= - O f(x)= 45 O f(x)= - 9…

A: It can be written as f(x)=3x3/4-5Cos(x)

Q: f(x) = 3x cos ƒ'(x). -1 (2x + 4) − √√/19 − 3x², find

A: Given: fx=3xcos-12x+4-19-3x2. To Find: f'x.

Q: LET F(x) = f(x8) AND G(x)=(f(x)) 8 F(a) = 3 F'a = 7 F' (a 8) = 4 a 7 = 11 FIND F' (a) = 7 AND G' (a)…

A: 2.

Q: Question 5 x3+5 Determine f '(x). f (x) = (A 1- 10x-3 B 3x2 3 2 (D 5x4 + 10x 2.

A: Given: fx=x3+52   As we know that; The sum./difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the domain of the function g(x) = /1 – x ln x

A: We have to find domain

Q: If f(x) = x cosh then f'(9) = 1 ¹() x²-9

A: The given function is

Q: f(x)= 7tan-1(5sin(4x)) f'(x)=?

A: We have to find the derivative of the given function f(x)= 7tan-1(5sin(4x)).

Q: If f(x) (1)? = 2 x² + 3x x+1 " then what is

A: Given: f(x)=x2+3xx+1

Q: If f(x) f' (æ) = (x2 + 5x + 2)°, then f'(3) =

A: To find f'(x) and f'(3)

Q: Let f(1) = (1 + 2x + 2)*

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Q: For the function f(x) = (3x + 5)4, find f''(x), f''(0), f''(2), and f''(-3).

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Q: Find f. f(x) = f"(x) = -2 + 18x - 12x², f(0) = 3, f'(0) = 12

A: Integration

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: Given f’(x) = 5cosx-16sinx    and f(0)= -1   Find f(x)

A: f’(x) = 5cosx-16sinx  We need to obtain the integral of this and satisfy the boundary condition.…

Q: Find f such that f'(x) = 5x² + 7x − 9 and f(0) = 9. f(x) =

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that f(9) = 13, f(13) = 3, f'(13)=9, f'(9) = 7…

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Q: 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 + 2)+/3, and (ii) f (x) (x3+2)1/3*

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

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Q: Let f(x) = x' – 3x° + 6x3 3x – 7. Then f'(x) is f'(4) is f"(x) is and f''(4) is

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Q: If x = e*-Y then is equal to A) B) log z (1+log z)* C)

A: solution:-xy=ex-ytake log both sideslnxy=lnex-yylnx=x-ydifferentiate both sides w.r.t…

Q: If f(x) = 7cos(x), what is f'(x) ?

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Q: Let f(x) = 3x − 1, g(x) = x^2 + 1 and h(x) =x+1/3 Evaluate (h°f°g)(3).

A: f(x) = 3x − 1, g(x)=x2+1 and h(x) =x+13 To Evaluate (h°f°g)(3).

Q: If f(x) = f'(2) 3x + 1 x + 1 then:

A: given  f(x)=3x+1x+1dxndx=nxn-1d dx(ab)=b(dadx)-a(dbdx)b2

Q: Find and interpret f'(2) and f''(2). f(x) = - 2x? f'(2) = f''(2) So at x = 2, f(x) is | decreasing v…

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