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what is the right hand derivative of f(x-1)=2x^2-3x+1 at k=1
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what is the right hand derivative of f(x-1)=2x^2-3x+1 at k=1
Right Hand Derivative of f(x-1)=2x^2-3x+1 at k=1
Definition of Right Hand Derivative
The right hand derivative of a function is the derivative of the function as x approaches a certain point from the right side.
Substituting k=1 into the Function
To find the right hand derivative of the function f(x-1)=2x^2-3x+1 at k=1, we first need to substitute k=1 into the function.
f(1-1)=2(1)^2-3(1)+1
f(0)=0-3+1
f(0)=-2
Finding the Derivative of the Function
Next, we need to find the derivative of the function.
f'(x-1)=4x-3
Substituting k=1 into the Derivative
Now, we can substitute k=1 into the derivative to find the right hand derivative of the function at k=1.
f'(1-1)=4(1)-3
f'(0)=1
Interpreting the Result
The right hand derivative of f(x-1)=2x^2-3x+1 at k=1 is 1. This means that the slope of the tangent line to the function at x=1 from the right side is 1.
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