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Find the derivative of the function using the definition of derivative. f(x) = mx + b f'(x) = State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.) Need Help? 

          Find the derivative of the function using the definition of derivative.
f(x) = mx + b
f'(x) =
State the domain of the function. (Enter your answer using interval notation.)
State the domain of its derivative. (Enter your answer using interval notation.)
Need Help?
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Find the derivative of the function using the definition of derivative. f(x) = mx + b f'(x) = State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.) Need Help?

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the derivative of the function using the definition of derivative: f(x) = mx + b f'(x) = State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.) Need Help?
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00:01 In this question, we are asked to find the derivative of the given function using the definition.
00:06 And by the definition, f prime of x equals to the limit as h goes to 0 of f of x plus h minus f of x divided by h.
00:24 So in our case, this is going to be the limit as the h goes to zero.
00:31 And to get f of x plus h, we need to replace x by x plus h in the formula.
00:36 And we are going to get m times x plus h plus b and minus f of x divided by h that after expanding everything we are going to get in the numerator m x plus m h plus b minus m x minus b divided by h m x cancels and b cancels and we are going to get the limit of m h divided by h.
01:25 By h...
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