Find R2,2(x) for f(x)

Q: Suppose that f(x) dx = 5. Calculate (4f(x) + 3) dæ-

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Q: Simplified form of F=y +xy+y x z is

A: Simply : F=y+x y+y x z

Q: -f(x) = x* – 6x³ –+ Vz7 %3D f'(x) = %3D id x5

A: Given,            f(x) =72x4 - 6x3 -2x5+x73

Q: What is derivation of f(x) = (2x² – x + 1)³ at %3D Xo = 1 ?

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Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C?

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Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

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Q: Find the first and second derivatives of the functio f(x) = x(x² + 4)2 %3D f'(x) = %3D f" (x) = %3D

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Q: If f(x) = 4x°-2 cosx then f'(x) =, 12x-2cosx 12x + 2sinx 12x+2cosx 12x-2sinx

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Q: Use the chain rule to find the derivative of f(x) = 4(8z³ – 32")² You do not need to expand out your…

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Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: For f(x) = (2a* + 3x)(5x*), find the derivative of f(x). 80x7+ 60x3 20x7-30a3 O 10z8 + 15x4 O…

A: We will use concept of differentiation to solve this.

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: f(x) : 4 6 5

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Q: Find f' (x) using the rules for finding derivatives 4x2 – 7x +1 f(x): 2x + 9 f'(x)=O

A: To find The derivative of f(x)

Q: Find f '(x) given that f(x) = 2+5x 3x3+4 %3D Show your work

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Q: Solve f(x) = 0, where f(x) = (x + 4)²(1 - x).

A: We have been given the function  f(x)=(x+4)2(1-x)

Q: Use the chain rule to find the derivative of 16 f(x) = 3(8r" - 5z ) * You do not need to expand out…

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Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: in of (fo f)(x). (Enter your answer using

A: We have to find the following conditions according to the given information

Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →

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Q: Find f. 4 f'(x) = 1- Ex) = %3D

A: This is a problem related to integral. Based on the given differential equation we will calculate…

Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

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Q: 3. Differentiate. x²e* f(x)%3= x² + ex

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Q: Find f (x) forf(z) – 1+ 6z.

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Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: The derivative of is f (x) = 3x* + 7x² + 5x + 2 %3D

A: Given, f(x) = 3x4 +7x2 +5x +2

Q: Find f'(x) for f (x) = v5+ e2x

A: Given,          fx=5+e2x

Q: Find the derivative for f (x) = V4 + e2x a. e2x /4+ e2x b. 1 2v2e2x xe2x-1 /4+ e2x C.

A: To find the derivative of fx=4+e2x.

Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

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Q: Let f(z) = 4z +1 f(2) =

A: Given  f(x)= 4x+1

Q: f(x) = Vxe-x/2 is inc decreacing

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Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -

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Q: 3x f"(x) = -- (x2 + 1)2

A: Consider the given second derivative.

Q: Find (f-1)'(a). f(x) = V 3x3 + 3x2 + 2x + 1, a = 3 (f-1)'(a) =

A: inverse function derivative

Q: Find f, (x.y) if f(x.y) = x² - 7xy – 9y². (x.y) =|

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Q: Find the first and second derivative 1. f(x) =x+6x-7x 2. f()=r-7 +2r 3. F(1)=(1+ 7r)

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Q: For k(x)=(−3x2+2x−3)(x−2)(−x+3), find the derivative of k(x) using the product rule.

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Q: z² – 4x + 4 Differentiate f(x)

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Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

Q: Find the most general antiderivative of the function f(x) = 72° – 6x³ + 3x?.

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Q: For k(x)=(3x+2)(−x+2)(−3x2+x+1), find the derivative of k(x) using the product rule.

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Q: f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10||   From function,   The derivative of function f(x) for x≥10…

Q: The derivative of f(x) 4 (22 +17x) is O -4c (2a + 17) O -4r 2(2x + 17) O 4x + 68 O 4x 2(2x + 17) O 4

A: Here, it is given that f(x)=4x(x2+17x) We need to find the derivative of the function f(x).

Q: 2. Find the derivative of f (x) = (3x – 2x? )(5 + 4x) using the product rule

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Q: the antiderivative of f(x)= x3+ 4x2-3x-2+7x3/2-2sinx-11cosx

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Q: Differentiate. F(x) = (8x +1)² F'(x) =U

A: 4) The given function is Fx=8x+12 To find: F'x=?

Q: Suppose that f(r, y) = x² – xy + y² – 4x + 4y with – 4 < x, y < 4. -

A: 1.)  Given Function is  f(x,y) =x2-xy+y2-4x+4y  with  -4≤x,y≤4  Then, fxx,y=2x-y-4…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.