uestion-9 a) Using 2nd derivative test, find the absolute extremes of f(x) = x – Vx

Q: 3. Approximate the first order derivative of f(x)= x² + 2x at x = 3, using Forward, Backward and…

A: Formulas for differences are enclosed next page

Q: Derivative of y=sin(cos3x)-sinx cos3x

A: Given that: y=sincos3x-sinxcos3xDifferentiting    w.r.t.xdydx=ddxsincos3x-ddxsinxcos3x…

Q: 4. Use first principles to find the derivative of the function. S(x) = Jx+2

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Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable. f(x)=x^{2}…

A: The given function,  f(x) =x2e-x .........................(1)  differentiate with respect to x

Q: B) Derivative following functions by using chain rule method 1) y = 5u³- u? , 2x = 4u? 2) у %3D |1 ,…

A: Answer (1): Given that, y=5u3-u2, 2x=4u2 Suppose fgx Then, to find the derivative apply the chain…

Q: Derivative of the function f (x) = tan x at x = n/4

A: Differentiating with respect to x, we get

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable.f(x)=x…

A: Given function is: fx=xe-x Differentiating above with respect to x we get, f'x=ddxxe-x⇒f'x=e-x-xe-x…

Q: derivative of the fun x + 2 y = e y' = %3D

A: We are asked to find the derivatives of the function.

Q: valuate the second derivative of the function at the given point. Use a computer algebra system to…

A: The derivative of the square root function is calculated using the formula ddxxn=n·xn-1. The value…

Q: Find the first derivative of f. f'(X) = Determine the sign of the first derivative function as x…

A: To find the particular derivative we need to use the simple quotient rule.…

Q: Use second derivative test, If f(x) = 4x +9 then f(x) has a local maximum at the point 3. I= 3 I =…

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Q: givrn f(x) = square root of x-3 find the derivative of f

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Q: derivative of y = x^2 ln tan^2 x

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Q: Definition: "The second derivative of a function f with respect to the variable x evaluated at x = a…

A: Since the second derivative of a function f is the derivative of the derivative of function f.

Q: First Derivative:  w=sec2x+tan2v

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Q: Determine the relative extrema using the Second derivative test. Find the point of inflection www y…

A: Let the function be, y=x(x2-5)2 Find the critical points using dydx=0 dydx=x2(x2-5)×2x+(x2-5)2…

Q: derivative of y=[x+(x+sin2(x))3]6

A: Given,

Q: Puestion 4. Using the definition of the derivative, show that f(x) = ifferentiable at x = -3. |2x+6|…

A: we have to show

Q: 6. Using the limit defenition of the derivative, find the equation of the line tangent to the curve…

A: We have to find the slope of the tangent line at first.Then we find its equation.

Q: Using the Limit Definition of the Derivative determine the derivative of the function below ?(?) = 5…

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Q: (c) Trapezoidal rule with end corrections using the first derivative and third derivatives (a) a

A: Consider the given integral. I=∫-11e-x2dx Now, find the derivatives up to a third of the function.…

Q: equation of tangent line of f(x)=5x^3+1 at x=1 is * O y=15(x-1) O y=15 x-9

A: Given: The function f(x)=5x3+1 and a point x=1

Q: using the derivative definition how do I find f(x) = -6(square root over x).

A: The limit definition is on the board . First we find f(x+h) amd substitute the value in the limit…

Q: a) Using the method of first principle find the derivative of the function 1 f(x) = Show that sin* x…

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Q: (omputale the derivative 8. Y= (9+

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Q: Find all relative extrema of the function. Use the second Derivative Test where applicable.…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: we have to find the second derivative of the function at the given point. f(x) = cos x2 , (0, 1)

Q: sin x 2. Find the derivative of y = 3+2cos x

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: Given;            fx=x2+3x-8 We will find relative extrema using the second derivative test First…

Q: total derivative of the function f(x, y

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Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

Q: nd second derivative tests. (x) has a relative Choose onev at the point (?, ?) Choose one maximum

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Q: Vsecxtanx; y HIN ||

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Q: sin (x) Find the derivative of h(x) %3D 2x + 5 h (x) =

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Q: Find all relative extrema and state the intervals where the function is increasing and decreasing.…

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Q: 7. Find all relative extrema. Use the Second Derivative Test to identify the local extrema. 2 f (x)…

A: Given:The given funtion is f(x)=3x+2xTo findWe have to find the relative extrema of the…

Q: derivative of  f(x) = x csc(x) - 4cos(x)

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Q: Find and classify the relative extrema of the function, if they exist. You MUST use the…

A: Given :fx=2xx2+1

Q: Find all relative extrema of the function Cx) =x' -6, Use the Second Derivative Test where…

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Q: 5x + a this probem you will apply the second derivative test to test the function f(x)

A: The solution are next step..

Q: (a) Use the Second Derivative Test to find the local extreme values of the function

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable g(x) =…

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A: Given : To find out relative maxima and minima we need to take first derivative and find out…

Q: QI Find f'(x) for 1+ sec-(x) S(x) 1- csc-1(x)

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. f(x) =…

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Q: Appy the second derivative test to find the absolute maximum value on (0, 0) for f(x) = 15-4x

A: Given function is, f(x)=15-4x-250x2