What is the tangent of f(x)=sqrt(5x+11),(5,6) ?

The tangent of f(x)=sqrt(5x+11),(5,6) is y= 5/12 x+47/12

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tangent of f(x)=sqrt(5x+11),(5,6)

tangent of

f (x) = 5 x + 11, (5, 6)

y = \frac{5}{12} x + \frac{47}{12}

Solution steps

Find the slope of

f (x) = 5 x + 11 : \frac{df ( x )}{d x} = \frac{5}{2 5 x + 11}

Compute the slope of

f (x) = 5 x + 11

(5, 6) : m = \frac{5}{12}

Find the line with slope m=

\frac{5}{12}

and passing through

(5, 6) : y = \frac{5}{12} x + \frac{47}{12}

y = \frac{5}{12} x + \frac{47}{12}

f (x) = \frac{3}{x ^{2}}

f (x) = 3 (x^{3} - x^{2})

\int (ln (x^{3})) d x

\int \frac{1}{2 x - 2} d x

\int 2 cos^{2} (4 x) sin (4 x) d x

What is the tangent of f(x)=sqrt(5x+11),(5,6) ?
The tangent of f(x)=sqrt(5x+11),(5,6) is y= 5/12 x+47/12