dérivées des fonctions usuelles Flashcards

1
Q

f(x)=k
( k constante)

A

f ‘(x)=0
dérivable sur R

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2
Q

f(x)=ax+b

A

f’(x)= a
dérivable sur R

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3
Q

f(x)= x au carré

A

f’(x)= 2x
dérivable sur R

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4
Q

f(x)=x exposant n ,n∈𝑁∗

A

f ‘(x)= nx exposant n-1
dérivable sur R

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5
Q

f(x)=1/x

A

f’(x)= -1/x au carré
derivable sur R*

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6
Q

f(x)=e exposant x

A

f’(x)= e exposant x
dérivable sur R

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7
Q

f(x)= 1/x exposant n

A

f’(x)= n/x exposant n+1
dérivable sur R*

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