Find the critical points, please show the work. f(x)=sin2x+3 on [-pi,pi]

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A: Given function is f(x)=sinx+ cosx

Q: One method to obtain an approximate solution is to plot the function and determine where it crosses…

A: True  is correct ans

Q: d 1+ sin² (2)| dz

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Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

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Q: b) Differentiate the function below with respect to x. f(x) = (2+3x) sin (8 + 2x) Note: In Text mode…

A: The given function is f(x)=-2+3xsin8+2x. To Find: Derivative of above function.

Q: C- Find f' of the following: 1) √2x³-2² + In ² 2) 3xe³r+1 3) sin ¹(³).

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Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Find f. f"(x)  =6 x + Sin x

A: Given: f"x=6x+sinx we know that f'x=∫f"xdx                                      ..1 so, by using…

Q: 1-sin x F(x) = S₂₁² 5tdt

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Q: Prove that the function n = x(x^2 - 3y ^2)+ (x^2 - y^2) + 2xy is harmonic. Also find the conjugate…

A: Then,     and Thus,   and , it follows  that .Hence, the  given function is harmonic.(Proved)…

Q: show that sinx less than x if 0 less than x less than 2pi

A: Assume that, fx=x-sinx Differentiate f (x) w.r.t. x, f'x=1-cosx=2sin2x2

Q: h(x)=sin2x Set h(x)=1 and solve for x on[0,2π]. Show all work.

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Q: Find the number of roots of the function f(x) = 1 (x+1)³ -3x+sinx.

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Q: What do we call the point at x= of the function f(x) = sinx? 2

A: Topic:- derivative and trigonometry