The graph of a function y = f(x) is shown. At which point(s) are the following true? (Select all that apply.) E В (a) and are both positive. dx dx2 A В D E dy (b) dx are both negative. and dx2 O O

Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: Find the derivative of the given function. 275 y= 22+4 e -3x %3D

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Q: find the points of inflection and discuss theconcavity of the graph of the function. y=x-\ln x

A: Consider: y=x-ln x. Find the inflection points and concavity of function. First find the domain of…

Q: Use the given graph to estimate the value of each derivative. y= f(x) 1 0, 1 (a) f'(-3) (b) f'(-2)…

A: Hence,  (a) f'(-3) = -1 (b) f'(-2) = 0 (c) f'(-1) = 0.6 (d) f'(0) = 1.5 (e) f'(1) = 3 (f) f'(2) = 0…

Q: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: Provide the equation of the line tangent to the given function at the specified point g(x)=ln(x^2);…

A: Given : gx = lnx2

Q: Given the graph of the derivative f('x) shown below, exactly how many local extrema does f(x)have?…

A: For a function, y=f(x), critical points are those where f'(x)=0.

Q: Find the the stationary points and the local extreme values of the function f(x, y) = −2x/x2 + y2+1

A: The objective is to find the stationary points and the local extreme values for the function…

Q: The graph of a function y = f(x) is shown. At which point(s) are the following true? (Select all…

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Q: find the first and second derivatives

A: According to power rule of differentiation , ddx(xn)=nxn-1  and according to sum rule of…

Q: Sketch the graph of the function y=ln(x+1)−1.

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Q: If the graph of Y=f{X) contains the point (0,2), dy dx and f(X) > 0 for all X, then yet? f(x) =

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Q: xArctanx - Invx2 + 1 = y y = (e3x+4 +2)/(e2+3x +1)

A: To find the y'' of the given function , we use chain rule for differentiation.

Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

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Q: The graph of a function y f(x) is shown. At which point(s) are the following true? (Select all that…

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Q: IF THE CURVE OF THE FUNCTION F (X) = Y PASSES THROUGH THE TWO POINTS (2,2) AND (1, K) AND SATISFIES…

A: We have to solve given problem:

Q: Find the (a) derivative y'= dy dx y = (n² + 5 secx) ㅠ of following Question tog 3 x

A: Note: Due to guidelines i can solve only your first question. Solution: a) y=πe+5sec xlog3x…

Q: Let h(x)=f(x)*g(x), and k(x)=f(x)/g(x). Use the figures below to find the exact values of the…

A: Given To find h'(0) and k'(-2)

Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: The graph of y = f(x) is given below: 3 2 -3 - –1 2 3 4 5 6 7 (x)dx = 4.5, then f(x)dx =

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Q: Find the point P on the graph of the function y = yx closest to the point (4,0 The x coordinate of P…

A: Given that, graph of function  y=x   We have to find Point P on y which is closest to (4,0)

Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x)…

A: The given function is

Q: Find the first and second derivatives of the functions

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Q: The graph of a function y = f(x) is shown. At which point(s) are the following true? (Select all…

A: Definition used-                    Graph of function increasing when f'(x) >0 and decreasing…

Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: 9 Given the graph to the right, find f(x)dx. ff(x)dx. 3 10- 8- 6- 4- 2- 0 2 4 6 -8 10 X

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Q: Evaluate the function: dx ¤(1+x?)

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Q: In the graph given below, at the point C, the second derivative (d'y/dx2 ) is O a. infinite O b.…

A: In this type of question we can find out the derivative values from slope of the graph at particular…

Q: Find the x coordinate of the point P on the graph of the function y = Vĩ closest to the point (3,…

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Q: Find the derivatives of the functions y = (x2 - 2x + 2)e5x/2

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Q: find the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

Q: Use the given graph to estimate the value of each derivative. y A y= f(x) 1 0, 1 (a) f'(-3) (b)…

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Q: Find the equation of the line tangent to the graph of f (x) = 1+ e-*for a. x = 0 b. x = -1

A: f(x) = 1 + e-x

Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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Q: Find the first and second derivatives of the given function. f(x) = e *(3 + 3x)? Calculate f'(x).…

A: The given function is fx=ex3+3x2

Q: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

A: y=e-3x+4+2e2+3x+1 take the first derivative y'=ddxe-3x+4+2e2+3x+1…

Q: function. (If an answer does not exist, enter DNE.) g(x) = 3x4 − 6x3 + 1 smaller x-value (x, y)

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Q: Given the graph of a function y = f(x) below, select the representation that best corresponds to the…

A: Given y = f(x) so dy'dx = f'(x)

Q: T* dx from a=-1 to b-1 is an even function.

A:

Q: The third derivative of y=x is A) 0 B c) None of the given choices D) 6x E) 3x

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Q: d all the higher order derivatives of f(x) = p³ + ga³ + x + 1. ,5

A: Differentiate wrt x

Q: 18 Find | f(x) dx for each graph of y = f(x). (a) 20- (b) AY 20-

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Q: Find the derivative of the function.

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Q: (c) For what value(s) of x does the graph f (x) =3x³ – x² +3 have a horizontal tangent.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: if f(x) is a curve joining the function (1,2) to (3.5)? What is the value of f 2f (x)f'(x)dx 27 - :…

A: Integrate the function and put value of function from hint given that f(x) join (1,2) and (3,5)

Q: Find the first and second derivatives of the function. g(t) = (3t2 - 3)2 (8r?) %3D

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