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$\fraction{f (a + h) - f (a)}{h} $
Evaluate
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Differentiate w.r.t. f
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\frac{fh}{h}
Factor the expressions that are not already factored.
f
Cancel out h in both numerator and denominator.
\frac{\mathrm{d}}{\mathrm{d}f}(\frac{fh}{h})
Factor the expressions that are not already factored in \frac{f\left(a+h\right)-fa}{h}.
\frac{\mathrm{d}}{\mathrm{d}f}(f)
Cancel out h in both numerator and denominator.
f^{1-1}
The derivative of ax^{n} is nax^{n-1}.
f^{0}
Subtract 1 from 1.
1
For any term t except 0, t^{0}=1.