d/dx(constant)=........................
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There d/dx function is zero
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0
Explanation:
d/dx of any constant is 0.
d/dx is differentiation. Differentiation of any function represents the slope of that function or tangent of that function.
So if you differentiate a constant function, (A straight line basically), you do not obtain any slope at all, Hence d/dx of any constant is 0.
Hence Proved.
There's Another way to prove it, but it is not much effective :
As any constant can be written as x⁰ where x ≠ -1,0,1 [Disadvantage of this method]
As we know that d/dx (xⁿ) = nxⁿ⁻¹
∴ d/dx (x⁰) = 0·x⁰⁻¹ = 0
Hoping that I have not made any mistakes, You're welcome.
Hope you have found my answer useful. If my answer deserves a brainliest, do mark it.
GeniusH
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