The domain of the function * sin x f –(x) = g x2 – x + 6 -
Q: 13. f (x) = sinx3 (2х-1)2
A: I have stated the used formulas in the solution
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Q: Differentiate: (etan(x)) /(1+x) Show all working out.
A: Given etanx1+x. We have to differentiate it. Used formula:- ddxfxgx=gx⋅ddxfx−fx⋅ddxgxgx2 Here,…
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A: If second derivative is less than zero then there is relative maxima.
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: The derivative of a certain continuous and differentiable function is given by: y = 3-x - 12-x +9.…
A: For maxima-minima, derivative of the function must be zero. That is,…
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A: Given, The function fx=x4-4x2+2 We have to find the all relative extrema of the function using the…
Q: Give an example of a function f (x) that has one positive derivatives on the range (−1, 0) and a…
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Q: Find all relative extrema of the function f(x) = x* – 4r +2 by using | the Second Derivative Test…
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Q: 1. Find the first derivative by using the definition for f(x) = 3x² – 2x – 5, hence - find f'(-2)
A: Derivative of a function is ratio of difference in output and difference in input.
Q: find the derivative of f(x) = (x²+4)(3x³ - 2x) at the point x = - 3[ use product rule] %3D B.
A: We have to find the derivative
Q: find all critical points of the function g(θ) = sin2 θ
A: Given Now, Critical points are points where the function is defined and its derivative is zero and…
Q: Find the intervals of monotonicity of the function f(x)=x+sinx.
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Q: Use second derivative test, If x3 f(x) = 25x + 5 then f(x) has a 3 local maximum at the point x = -3…
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Q: The function f(x) = x^2 is decrea sin g on (- ∞,0) True or False
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Q: How do I differentiate this function using the chain rule: f(x)=[x^2/sin(x)]^6
A: Given, The function is fx=x2sinx6.
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Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, 0).…
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Q: The function f is defined by f(x)=x/(x+2). What points (x, y) on the graph of f have the property…
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Q: f(x) = (2x3 + 5x) cos x
A: Given function is fx=2x3+5xcosx. Differentiate using product rule ddxf·g=f·ddxg+g·ddxf
Q: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?
A: Given query is to find the value of the function at indicated point.
Q: 9) Use the second Derivative Test to find all relative extrema. f( x) = - (x + 2)°(x – 4)?
A: Find f'(x) and solve for x by putting f'(x)=0.
Q: The derivative of the function f (x) 3x tan x is Select one: O f'(x) = 3 tan x + 3x sec² x O f'(x) =…
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Q: Find the x-value for all relative extrema of f(x) using the first derivative test. Specify whether…
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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: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…
A: Use simple differentiation formula.
Q: Determine the extreme values of the function (exact coordinate(s) f(x) = 2sinx – x on the interval x…
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Q: ve of the function using the definition of derivative. = V7- x 1 2 7-x n of the function. (Enter…
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Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule] В I !!
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Q: the first derivative of a continuous function y=f(x) is y'=x(x-12)^2 .find y'' and then use the…
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Q: Use second derivative test, If f(x) = 4x + 8 then f(x) has a local maximum at the point O r = 2 O r…
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Q: first derivatives test to find local exterma of f( x) =x3 -12x on R
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Q: 2. Find the derivative of f(x) = -4x2 + 3x + 2 from first principles (i.e. the limit definition of a…
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Q: what is the value of x in second iteration of the function f(x) = sinx - X +5, in the interval of…
A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…
Q: Find the relative extrema of f(x) = 4+70x – 5x² using both first and second derivative tests. f (x)…
A: Given:- f(x) =4+70x-5x2 To find:- Relative extrema of f(x) using both first and second derivative…
Q: On the interval -2<x<-1/2, the graph of the curve f (x) = 2x° +3x2 - 12x - 7 is: %3D Support answer…
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Q: b) Use second derivative test to find absolute maximum and minimum values of f (x, у) 3 Зху — 6х —…
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Q: Use the first derivative test to identify all relative extrema f(x)= 1/2x-sinx on the interval…
A: Maxima or minima: If f(x) is any function: 1) Evaluate f'(x)=0 for critical point. 2) Evaluate…
Q: Use second derivative test, If f(x) = 4x+4 then f(1) has a local maximum at the point I = -3 I = -2…
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Q: Sketch the graph of a differentiable function y f(x) through the point (-2,2) if f'(-2)=0 and…
A: Given: To sketch the graph of the differentiable function function y=f(x) through point (-2, 2) if…
Q: Use the second derivative test to find all relative extrema f(x)= x+4/x
A: The given function is as - f(x) = x+4xProcedure to find local extremas - 1. Find f'(x)2. Put f'(x) =…
Q: The function f(x) whose derivative is sin x and whose graph passes through the point(0, 2)
A: we have to find the function f(x) whose derivative is sinx and whose graph passes through the point…
Q: Find the derivative of the function. show all work y=(x-10)(x^2+2x) all over x^3
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Q: 4. Find the maxima/minima of f(x) = x³ – x using both 1st and 2nd derivative test.
A: Consider the function: fx=13x3-x. Find maxima, minima. Find f'x by applying axn'=anxn-1.…
Q: Prove without graphing, that the graph of the function has at least two x-intercepts in the…
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Q: olve for the derivative of the function using chain rule. 2. f(x)=4√ -3x4-2
A: 2)
Q: Use the second derivative test to find the extreme values of the function f(z) = z-3z2-24z
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Q: Find the function f(x) whose derivatives is sin x and whose graph passes through the point (0,2).…
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