Given the function f(x)=x−−√3, find f′′(x).

Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: Given the function f(x) = Vx5 – 3Vx2, find the interval(s) of increase.

A:

Q: Find f'(x) for f(x) = e5a+2x

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Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: The domain of the function f(x, y) 3xy 2+√4x2+y2-16 is:

A: Given :fx,y=3xy2+4x2+y2-16

Q: Find f' (a) for 13x f(x) = 9x + 8 f' (a) =

A:

Q: f(x) = zx²+ 2x+1, Find f (b)

A: f(x)=3x2+2x+1 , find f(6)

Q: For the function f(x.y) = e 4xy, find f, and f,. f, =

A:

Q: For f(x)=x3+3x2 -9x+4  Find the values of x where the tangent line is horizontal and the equation…

A: Tangent is horizontal line when it's slope is zero.

Q: Which is equal to (x) given that g(x) = 1- 3x and h(x) = V?

A:

Q: If f(x) = (x² +2) e², what is f'(x)?

A:

Q: Plot f (x) = xe −x and use the zoom feature to find two solutions of f (x) = 0.3.

A: To plot the graph of the function f(x)=xe-x, use the coordinate pair x and y. Where the y-axis shows…

Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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Q: Find the value of x in each case. 'F D E 4x 2x 6x в с A X =

A:

Q: The domain of the function f(x, y) = 3xy 2+√4x2+y2-16 is:

A: Given problem:- fx,y=3xy2+4x2+y2-16  To find:- Domain of f(x,y)

Q: If f(x)=∫8/x t^2dt  f'(x)=?

A: As per fundamental rule II of calculus, the releationship is as shown on the white board.

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x <4 а. 2 b.3 c. 0 d. 1

A:

Q: If f(x) is the slope of a trail at a distance of x miles from the start of the trail, what…

A: Given that f(x) is the slope of a trail at a distance of x miles from the start of the trail.

Q: d°y dx6 for the following. F(x) = x’ – 8x²+2 Find -

A: y = f(x) = x7-8x2+2 We have to find the 6th derivative of y with respect to x.

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: If a F (2) = xy+i (x² – y²), what is F (-1+2i)?

A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: 8. For f(x) = -4x + 5, find the solution to f(x) = 41.

A:

Q: For function f (x, y) = y2 x2 +1

A: Please refer the attached image for complete solution.

Q: For the function y = f(x) = x² – 2x, x x ≥ 1, find (ƒ-¹) '(3) = df-1 dy y=3

A: We have to find the f-1'(3).

Q: function f(x)=2x^3-5x^2+3x+2, find the equation of the tangent line at x=1.

A:

Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

Q: Find the inflection point of the curve f(x)=2x³ – 30x² – 12x+5. O 60 None O -2 O 5

A:

Q: Find the inverse 0f             y =f(x)= x2, if x ≥ 0. Graph f and f -1.

A: A function g is the inverse of function f if for y=fx,  x=gy Inverse of x2:y=x2Replace x and…

Q: Q3: Find The Domain of the Function. Inx|- y = sin

A: Explanation of the solution is given below...

Q: Given the function P(x) = (x – 3)´(x – 8) Its y-intercept is | (3,0)

A:

Q: Find fxy for the function f(x, y) = V3x²y + 5.

A: The given function is f(x)=sqrt(3x2y+5).

Q: Find the approximate value of f (3.02), where f(x) = 3x2 + 5x + 3.

A: Given

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

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

A:

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x < 4 а. 2 b.3 с. 0 d. 1

A: Given that: f(x)=3x2-12x+9

Q: For the function f(x)= 3x² +2x–1, Find the equation of the line tangent to the curve at x = -1 2.

A:

Q: f(z) = x2 – 8x + 15 g(x) = 1 – 3 ()e) Find |(x) (1) The domain of

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Q: f(x) = (x² – 2x + 2)e*

A:

Q: on f(x, y) = 7x2 + 9y? - xy + x.

A: Let the function be, f(x,y)=7x2+9y2-xy+x. Differentiate the function partially with respect to x.…

Q: The f x2 dx is 1-2х3 { A } In(1 – 2x³)!/6 + C { B}-In|1 – 2x³| + C {C} -In]1 – 2x³ + C {D} – In(1 –…

A:

Q: If f(2) = 11, f' is continuous, and f "(x) dx = 18, what is the value of f(4)? f(4) =

A: Solve the given problem.

Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

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Q: What is g'(x) when g(x) = ln (x³ + 3x² + 5x + 6)?

A:

Q: 5) [ (x² +1)´dtan x3

A:

Q: For the function y = x² + 2x, the value of dy when x=3 and dx=0.1 is (А) 0.15 B - 0.8 -0.15 D 0.8

A: The given function y=x2+2x  ;  x=3 and dx=0.1

Q: Determine the value of ∫k4 f(x) dx given that ∫49 f(x) dx=−9 and ∫9k f(x) dx=−3.

A: We have to find following definte integral .Information is given below:

Q: For the function y=inx, find f(e^2)

A:

Q: 5. For f (x) 3x 5 and g (x) 6 4x, find (fog) (x)

A: As per guideline we have to solve the problem

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: