Find local maximum or local minimum of f (x)=sin 2x-x defined on 2 2

Q: Find any local maximum & local minimum  of f(x)=-0.4x3-0.6x2+3x-4 on the interval (-6,4)

A:

Q: Find the quadratic approximation to f(x) = /x + 3 near a = 1. Graph f, the quadratic approximation,…

A: fx=x+3

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

A:

Q: Find local maximum or local minimum of f(x)= -sin 2x -x defined on 22

A:

Q: Prove that Pr (|X − a| < τ ) takes its maximum value when a = µ where X ~ N (µ, σ2)

A:

Q: Find the absulote maximum of x40-x20 on the interval [0,1],also find its absolute maximum value

A:

Q: Hi, I need help with this step-by-step. Please.

A:

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

A:

Q: Let f be a continuous function with f'(x) = 3x² Of has no relative maxima. 0x=0 0x=2 0x=1 - 6x. At…

A: f be a continuous function with f'x=3x2-6x

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 2 at x = −2 and a…

A:

Q: 6. Find all critical numbers and use the Second Derivative Test to determine all local extrema. a)…

A: for part a see 2nd step. for part b see 3rd step.

Q: 2 The function defined by f(x)= x-3x for all real numbers x has a relative maximum at x = %3D

A:

Q: What is the absolute minimum value of p(x)=2x^2+x+2 over [−1,3]?

A:

Q: 7) a) Find all the critical points of the function y = h(x) = ln(x +1)° – 2x + 5. b) For each…

A: Given      y = ln(x+1)^6-2x+5

Q: 2. Find the minimum value of f(x) = %3D

A: We expert are supposed to do first question . We have to find minimum value

Q: Find two positive numbers whose product is a such that their sum is minimum.

A: Let the two numbers are x and y So, xy=a y=a/x   Their sum= S= x+y We have to minimize S

Q: Find the absolute maximum/minimum of function f(x) = 4x3 - x2 - 2x %3D for interval of [0, 1]

A: The absolute maximum of a function in interval a,b is the maximum function value over this interval.…

Q: Find all critical points of the function f(x)=5x5-2r and use the First Derivative Test to find local…

A: The given function is f(x)=5x45-2x

Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

A:

Q: Verify Mean value theorem for the function f(x)=4x3+x+2 over t interval [0,1].

A: Prove hypothesis of mean value theorem Differentiate continuous and value of c

Q: Find the locations of local minimum and maximum of X⁹ x⁹-4x8 using the second derivative test. 32…

A: let f(x)=x9-4x8Differentiate with respect to x 9x8-32x7=0x7(9x-32)=0⇒x=0,x=329  are the critical…

Q: Derive a 2nd order accurate finite difference expression for the first derivative at point i-1,…

A:

Q: Use second derivative test, If f(x) = - 4x + 10 then f(x) has a local maximum at the point 3 %3D O r…

A: here we need to find the point at which the function has a local maxima. the solution is following.

Q: 5. Find the absolute minimum and absolute maximum values of f(x)= 2cosx +sin2x on the interval 2 N

A: Consider the given function,To find the absolute minimum and maximum values of the given function,…

Q: Find the absolute maximum of x40-x20 on the interval [0,1].Find also its absulute maximum value

A:

Q: Determine all the critical numbers of f(x) = sinxcosx.

A: Determine all the critical numbers of   f(x) = sin(x)cos(x)

Q: 2. Use the second derivative test to determine the local minimum and maximum points of the graph of…

A:

Q: Find the relative extrema of f(x) = 3 +90x – 9x² using both first %3D - and second derivative tests.…

A:

Q: Provide an example of a function for which it can be shown to have a local maximum at a point using…

A: Firstly, we state both the First Derivative Test and the Second Derivative Test.First Derivative…

Q: find the absolute maximum and minimum values for the given functions over the given closed interval.…

A:

Q: Find the absolute maximum and minimum values of f(x) = -(x² + x) interval [-3, 4]. over the absolute…

A:

Q: Find the relative extrema of f(x) = 3 + 70x – 7x² using both first and second derivative tests. f…

A:

Q: A function f defined on [a, b] always has an absolute maximum and absolute minimum on [a, b].…

A: False

Q: Function f(x) is defined as f(x) = x3 + 2x² - 20x + 10 in interval [-2, 1], what willI be it's…

A: Introduction :

Q: Find the absolute maximum and absolute minimum of the function f(x) = -2 sin² (x) over the interval…

A:

Q: local

A:

Q: f f is a differentiable function with derivaitve f' x^2+2x-3, then f has a realtive minimum

A: We are given the derivative of the function f which is f'(x)=x2+2x-3, and we need to find relative…

Q: Find the global minimum and maximum of the continuous function f(x) =  4/ x2 + 1   on [−1,…

A: The given continuous function is,

Q: Limit x approaches to + infinity 3x+1 ÷ 2x-5

A: To evaluate: limx→∞3x+12x-5 Solution: Here,limx→∞3x+12x-5 On simplifying further we get:…

Q: determine all critical points and all domainendpoints for each function. y = 2√(1 - x2) + sin-1 x

A: Given that, y=21-x2+sin-1x

Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

A: y=2x-sin2x The domain of given function is -∞, ∞. The range of sin2x is -1, 1.

Q: (b) Use both the first and second derivative tests to show that g(x) = 2tan²x has a relative minimum…

A: The given function is:; g(x)=2tan2x Now differentiate the function with respect to x,…

Q: 7. Verify the validity of the Mean Value theorem of Lagrange in the case of f(x) = 2x3 – x +1 in the…

A:

Q: The function h(x) = x³ + 28x4 – 1311x³ has a critical point at x = 19. Use the second derivative…

A:

Q: Where are there local minimum(s)/maximum(s) f(x)=3(2x-1) -4(x+1)?

A:

Q: Find the minimal distance between the point (3, 9) and the curve of the function f(x) = 9 − x

A: Given, The point P(3,9) and the curve of the function f(x)=y=9-x2.

Q: What is the x-coordinate of the global minimum of the function f(x) = x – 3 ln x – 2 for the…

A:

Q: Find the local maximum and local minimum values of f using both the First and Second Derivative…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.