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Find The Derivative Of A Function Using The Power Rule

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Given f(x)= x3 is constant, d/dx [f(x)]=  

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d/dx [x]=

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d/dx [xn]=

Is the sentence true or false ?

Let  f(x)=x7  then f’(x)=7x6       

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d/dx [23x]=

 Is the sentence true or false ?

Let f(x) = x8 then f’(x)=8x7        

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d/dx [x8]=

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d/dx [x13]=

 Is the sentence true or false ?

The derivative of f(x)=x5 is x4         

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d/dx [15x2]=