Graph the curve of the function F(x)= sgn([x]+1)

Q: Find the derivative of the function g(x) = 3arccos(x/2)

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Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Find the derivative of a function at a certain number using the formula f(x) – f(x1) x-X1 x- x1…

A: Here's the solution, please have a look at it...

Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: f (x) e1/x x2

A: Given function is fx=e1xx2

Q: Solve for the 4th derivative of function K K= x3Cos√x

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. x-5 f(x) = 6x-1…

A: Here given that f(x)=x-56x-1 We have to find f'(x) and also we have to find the equation of the…

Q: Find the derivative of the function. f(x) = In(x + V7 + x²) f '(x) =

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

Q: Find the derivative of the function g(x) et 2 – 2x gʻ(x) =

A: We have to find derivative

Q: Given the graph of derivative f'(x), find: a) Any interval(s) where f(x) is decreasing b) Any…

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Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: Give two applications of the derivative f(x + h) - f(x) f'(x) = lim h

A: The given function f'x=limh→0f(x+h)-f(x)h is the derivative by first principle.

Q: Find the derivative of the following function using the limiting process. f(x) = 1/x2

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Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

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Q: Find the derivative of the function. (x) = In(4 – x®) r"(x) =

A: We have to find

Q: Use the definition of a Derivative to show that the function is not differentiable at x = 1. Why is…

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Q: Compute the derivative function f' (x) algebraically. f (x) = –x² – 2x O f' (x) = 2x – 2 O f' (x) =…

A: Derivative of xn= nxn-1

Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of…

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Q: The derivative of f(x) = 2 cos 2x is an odd function.

A: Odd function

Q: 1. Let f(x) = Find the equation of the tangent line to the graph of f'(x) at the point x² + 1 where…

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Q: Let f(x) = 4x3 + + 2Vx – 7. Find f'(x). 15. Find an equation for the tangent line to the graph of…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x²;…

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Q: F(x)=In(52x+n • (x+2) ) %3D

A: Find the derivative of the function

Q: given that the graph of f(x) passes through the point (10,9) and the slope of its tangent line…

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Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: Find the inflection points of the function f(x) = x 2 ln x

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Q: Let f(x) = 33 –x The slope of the tangent line to the graph of f (=) at the point (-5, 8) is The…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

Q: 2x f{X) = 1+ X

A: Given: f(x)=2x1+x

Q: Let f(x)= e^x^2 . Find an equation of the line tangent to the graph of f at the point the (1,e).

A: Tangent to the graph,

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

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Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

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Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x & Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: Find the derivative of the function. G(x) = V1- 9x2 · arccos(3x) G'(x) =

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Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. Use the results to write a general…

A: Given:fx=cos xxn for n=1,2,3,4Formula:ddxuv=vu'-uv'v2

Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

Q: Find f'(a) using the definition of the derivative at a point for f(x) = 1 VI at a = 7.

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Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…

A: Given query is to find the value of a and b.

Q: Use f'(x) = lim **n)=l to find the derivative at x for the given function. h h-0 s(x) = 8x +7 s'(x)…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Suppose the derivative of the function y = f(x) is y' = (x-9)2(x+6). At what points, if any, does…

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Q: Find all possible functions with the given derivative. f'(x) = x* f(x) =O

A: To find out the function.

Q: A graph of yY = f(x) is shown. In the same coordinate system, sketch a graph of the derivative func…

A: when a line passes through two given points, say (x1, y1) and (x2, y2).  the equation for this line…

Q: Find the derivative of the function g(x) et 2 + 3x g'(x) =

A: Given: gx=ex2+3x

Q: Find the derivative of the function using the limit definition of derivative.  a. f(x) = 1/(x+3) b.…

A: Consider the given functions

Q: Use the graph of the derivative g'(x) shown below and the terminology: increasing, decreasing, local…

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Q: 3. Use the graph of y = f (x) shown to sketch the graph of its derivative f'(x). [if on your own…

A: Give function f(x) has graph If you see this graph you will observe that derivative of f(x) will be…