What is the slope of f(x)5x+y=6 ?

The slope of f(x)5x+y=6 is -5(x(df)/(dx)+f(x))

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slope of f(x)5x+y=6

slope

f (x) 5 x + y = 6

- 5 (x \frac{df}{d x} + f (x))

Solution steps

f (x) \cdot 5 x + y = 6

Isolate

y

for

f (x) 5 x + y = 6 : y = 6 - f (x) \cdot 5 x

In order to find the slope of the function, take the derivative of

6 - f (x) \cdot 5 x

\frac{d}{d x} (6 - f (x) \cdot 5 x) = - 5 (x \frac{df}{d x} + f (x))

- 5 (x \frac{df}{d x} + f (x))

\int \frac{x}{2 - x} d x

\int tan^{5} (x) sec (x) d x

\int \frac{x ^{2} - 3 x - 5}{x ^{2} - 5 x} d x

y \to 0 lim (\frac{7}{y ^{2} + y} - \frac{7}{y})

5 e^{- x}

What is the slope of f(x)5x+y=6 ?
The slope of f(x)5x+y=6 is -5(x(df)/(dx)+f(x))