e'sin" ) *sin sech (x-2) * sech (x-2) F (x) = Explain why g(z) - 0, is not differentialble at a2. if >2

Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

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Q: y = [x + (x + sin2(x))ª]³ %3D

A:

Q: find the derivative of the function f (x) = 8 arcsin ( 8x²+17x-10 )

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Q: @ sin (cos' ( )

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

Q: help find crtical points of A'(x)= 2(1-2xtanh(x))sech^2(x)

A: Use the graphical approach to find the critical points for A’(x). At the critical points, the…

Q: Use the inverse function theorem to find the derivative of g(x) = arcsin(x). 1 = (z),6 f'(g(x)) ,…

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Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the…

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: 25. Integrate sec³ ( }x)dx O sec(블지) tan(금r) + 1lmscc(x X- O sec(금x) tan(금x) + In]sec(3r) ○3 sec(금x)…

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Q: 7(e)₁² X y= » - [1-171² 2 sec- y = (tan 17 1² ² X y = [cscx]arcsin (cos.x)

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Q: (6) Find the derivative where it exists (c) Where is flz) analytic ?

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Q: 23: The equation of the tangent line to the graph of y = f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

A: We have to solve given problems:

Q: What is the second derivative of f (x) =csch-(tan(x))2 A f"(x) =csc(x)cot(x) f"(x) =csc (x) sec (x)…

A: dcsch-1 (x)dx=-1x1+x2 dtanxdx = sec2x

Q: (b) h2(x) = arcsin(Vr + 1). Hint: Use Derivative of sin-(g(x))

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Q: Differentiate. f'(0) f(0) sin(8) 1 + cos(0) 1 + cos (0) cos(0) - sin(0)(-sin()) (1 + cos(8))²

A: .

Q: Q6// Find the value of first and second derivative for the equation x² + xy - y² = y/x,at (1,1)

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Q: Verify Cauchy-Riemann equation for the function f(z) = z^3

A: To find- Verify Cauchy-Riemann equation for the function fz = z3         Formula Used-…