The exponential function f(x) = e² is the mysterious function c) which is its own derivative. Based on that knowledge and your understand- ing of chain rule, find the derivative of esinx

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A: Please see the answer below.

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A: The detailed solution is given below. Thank you

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A: Given :limn→∞ n

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Q: 3. If f(r) VI-I, g(z)%= VI+1 find the domains of(Jgx) and %3D %3D (f9)(x) V-1?( 17(

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A: We will solve for x.

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A: The given integral,      ∫sin(x)1-sin2(x)dx

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A: Use the algebraic substitution and solve the integration.

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A: Simplify the function using definition of asymptote.

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A: We can find the solution to the integration as below.

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Q: Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b.…

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