One For You: Exponential Practice x One For You: Exponential Practice 1) Compute the values of...

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Transcript of One For You: Exponential Practice x One For You: Exponential Practice 1) Compute the values of...

  • One For You: Exponential Practice

    1) Compute the values of sinh(x) and cosh(x) at x = 0; x = ln(2) (If you want, check this on Wolfram Alpha, but use exp(x) for ex)

    2) Find where sinh(x) = 0 and where cosh(x) = 0

    3) Show ex = cosh(x) + sinh(x); e−x = cosh(x) − sinh(x)

    4) We know that 2 sin(θ) cos(θ) = sin(2θ). Is it true that 2 sinh(θ) cosh(θ) = sinh(2θ)?

    5) We know that cos2(θ) − sin2(θ) = cos(2θ). Show cosh2(θ) + sinh2(θ) = cosh(2θ)?

    6) let f(x) = xe−x 2

    a) Differentiate and Simplify b) Differentiate y′ again, and simplify