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Differentiate w.r.t. x
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\frac{6\left(x-4\right)}{x-4}-\frac{t}{x-4}
To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{x-4}{x-4}.
\frac{6\left(x-4\right)-t}{x-4}
Since \frac{6\left(x-4\right)}{x-4} and \frac{t}{x-4} have the same denominator, subtract them by subtracting their numerators.
\frac{6x-24-t}{x-4}
Do the multiplications in 6\left(x-4\right)-t.