calculus  derivatives
posted by COFFEE .
can you please find the first 5 derivatives for:
f(x) = (0.5e^x)(0.5e^x)
f'(x) = ?
f''(x) = ?
f'''(x) = ?
f''''(x) = ?
f'''''(x) = ?
thanks :)
f(x) = (0.5e^x)(0.5e^x)
f'(x) = 0.5 e^x + 0.5 e^x
f''(x) = 0.5 e^x  0.5 e^x
f'''(x) = 0.5 e^x + 0.5 e^x
f''''(x) = 0.5 e^x  0.5 e^x
f'''''(x) = 0.5 e^x + 0.5 e^x
The first term stays the same; the second term changes sign with each differentiation. The situation is related to the hyperbolic functions sinh x and cosh x
gotcha. thanks
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