Higher derivatives

1. Calculate the first four derivatives of the following function:

vyssie-derivacie-1z

Solution:

vyssie-derivacie-1r


2.Calculate the first four derivatives of the following function:

vyssie-derivacie-2z

Solution:

vyssie-derivacie-2r

 

3. Calculate the first four derivatives of the following function:

vyssie-derivacie-3z

Solution:

vyssie-derivacie-2r


4.Calculate the first four derivatives of the following function:

vyssie-derivacie-4z
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5. Calculate the first four derivatives of the following function:

vyssie-derivacie-5z

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6. Calculate the first three derivatives of the function:

y = ex.sinx
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7.Calculate the first three derivatives of the function:

vyssie-derivacie-7z
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8. Calculate the first three derivatives of the function:

y=sin 2x
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9.Calculate the first three derivatives of the function:

vyssie-derivacie-9z
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10.Show that the function y = excos x satisfies the differential equation 

yIV + 4y = 0
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