> > f(x) = 2x * d F(x)=(√2x+2/2) f' X+ dx f(x) = , (Vzx) = dx 2√2 x لعلم قواعد العاه م حسب الم d | 22 dx √x قوم بعملية الها@ 1 2√x 2 Vx f(x) = 2 = 2/2 - تقوم بالعبسيط

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: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

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

Q: Differentiate. V(x) = (3x³ + 3)(x* – 2x) V '(x) =

A:

Q: 2 ~² S-₁ (2-x²)²³ - (x²)² dx = π

A:

Q: Let f(x) = Evaluate f'(x) at x = 4. ƒ'(4) = 4√x 4x² + 3x 9

A: The objective is to find the derivative of f(x) at x=4.

Q: Referto Forcion TOF nctior fCx)=X+4 (+) a cx)=2x²+2x

A:

Q: Find the interval where the function is concave up. Find the interval where the function is concave…

A: for concave up  f"(x) >0 and for concave down f"(x) <0

Q: Find f'exo if fex)= Find f'ex) if fcx)= (5x² + 1) cos(2x) 100 sec² (2x + 5) (x + 2)¹ 3

A: fx=5x2+1cos2x3sec22x+5x+2100

Q: If integral subscript 2 superscript 3 f(x)dx=4 and integral subscript 3 superscript 5 f(x)dx=7, then…

A: A detailed solution is given below.

Q: For the function f(x) = 7x', find f-1(x). %3D or () = E Of (2) = V %3D Subre Of (2) = 7V#

A:

Q: 2х + 3, х 1 21 B 19 C 28 D) 16 A.

A: We find out the value of given integral. Follow 2nd step.

Q: Find f'(x). 4 f(x) = 3x5 (x² - 4) X

A:

Q: lIf 90 +9f(x) + x²(F(x))* = 0 and f(3) = -2, find f'(3). f'(3) = %3D

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Q: For y=f(x)=3x^3 , x=3 , and (triangle)x = 0.03 find dy (two decimal places)

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Q: X - 2 Consider the function f(x) x – 4° Use the graphing utitlity to graph f.

A: 1. The given function f(x)=x-2x-42. f'(x)=x4-16x3+81x2-146x+80

Q: If f(x) = 3√x (x³ - 5√x+4), find f'(x). x ²7/31²- Find f'(3). X

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Q: Differentiate the function and simplify the answer. f(x) = 2x e2r'+x² Select one: f'(x) = 2xe2r³+x?…

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Q: 2 1 f(x) dx = 14, encuentre f(2x) dx.

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Q: 5 a. Find f'(x) and also f"(1) if f(x) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: f(x) = 4sin (1-3x2) + xcosx-9, then f'(x) = -24xcos (1-3x2)+cosx-xsinx True O False

A:

Q: 5 Find (f(x) + 5g(x)]dxif -5 5 5 | f(x)dx = 8 and g(x)dx = -4. -5 -5 5 f(x) + 5g(x)]dx = i -5

A: The given integral values,∫-55fxdx=8 and ∫-55gxdx=-4

Q: Given f(x) = e2(x-1) – 4x² –x + Inx then find f'(1). I.-8 II. -4 III. -8x IV. -6 V. (r-1) Saloct ane

A: Answer and explanation is given below

Q: If f(x) = 6 + 6x − 4x², find ƒ'(-3). - -48 X

A:

Q: If ƒ(x) = (x² + 4x + 8)², then f'(x) = f'(3) = places) (round to 3 decimal

A: f(x)=x2+4x+82 f'(x)=ddxx2+4x+82   Let, g(x)=x2+4x+8 So, the function can be written as:…