What is the tangent of f(x)=4x-3sqrt(x) ?

The tangent of f(x)=4x-3sqrt(x) is y=(4-3/(2sqrt(a_{0))})x-3sqrt(a_{0)}+(3sqrt(a_{0)})/2

tangent of f(x)=4x-3sqrt(x)

tangent of

f (x) = 4 x - 3 x

y = (4 - \frac{3}{2 a _{0}}) x - 3 a_{0} + \frac{3 a _{0}}{2}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 4 a_{0} - 3 a_{0})

Find the slope of

f (x) = 4 x - 3 x : \frac{df ( x )}{d x} = 4 - \frac{3}{2 x}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 4 - \frac{3}{2 a _{0}}

Find the line with slope m=

4 - \frac{3}{2 a _{0}}

and passing through

(a_{0}, 4 a_{0} - 3 a_{0}) : y = (4 - \frac{3}{2 a _{0}}) x - 3 a_{0} + \frac{3 a _{0}}{2}

y = (4 - \frac{3}{2 a _{0}}) x - 3 a_{0} + \frac{3 a _{0}}{2}

\frac{d}{d x} (a x^{n})

k = 1 \sum \infty \frac{k !}{2 ^{k}}

\int 15 tan^{2} (x) sec^{3} (x) d x

d er i v a t i v e 2 x e^{4 x}

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

What is the tangent of f(x)=4x-3sqrt(x) ?
The tangent of f(x)=4x-3sqrt(x) is y=(4-3/(2sqrt(a_{0))})x-3sqrt(a_{0)}+(3sqrt(a_{0)})/2