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How do you differentiate number with power?
A number with a power is still a number - a fixed constant. The differential of a constant is always 0.
What is slope of 0?
if you define y = constant then the slope of any constant is 0 so if you define the line y = 0 the slope of 0 is 0.
Is 0 a monomial?
Zero is a whole number and definition of monomial is " a number, or a variable, or a combination of a constant and a variable"
Formula for constant speed?
The formula is [ Speed = a number ], or [ Slater = Searlier ], or [ |Acceleration| = 0 ].
How do you prove if the given function is a constant function using Mean Value Theorem?
The Mean Value Theorem states that the function must be continuous and differentiable over the whole x-interval and there must be a point in the derivative where you plug in a number and get 0 out.(f'(c)=0). If a function is constant then the derivative of that function is 0 => any number you put in, you will get 0 out. Thus, using the MVT we deduced that the slope must be zero and since the f(x) is a constant function then the slope IS 0.
