What is the tangent of y=0.0006x^{0.837} ?

The tangent of y=0.0006x^{0.837} is y=(0.0005022)/(a_{0)^{0.163}}x+0.0000978a_{0}^{0.837}

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tangent of y=0.0006x^{0.837}

tangent of

y = 0.0006 x^{0.837}

y = \frac{0.0005022}{a _{0}^{0.163}} x + 0.0000978 a_{0}^{0.837}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 0.0006 a_{0}^{0.837})

Find the slope of

y = 0.0006 x^{0.837} : \frac{d y}{d x} = \frac{0.0005022}{x ^{0.163}}

Compute the slope of

y = 0.0006 x^{0.837}

x = a_{0} : m = \frac{0.0005022}{a _{0}^{0.163}}

Find the line with slope m=

\frac{0.0005022}{a _{0}^{0.163}}

and passing through

(a_{0}, 0.0006 a_{0}^{0.837}) : y = \frac{0.0005022}{a _{0}^{0.163}} x + 0.0000978 a_{0}^{0.837}

y = \frac{0.0005022}{a _{0}^{0.163}} x + 0.0000978 a_{0}^{0.837}

\int \frac{1}{2} sec (x) tan (x) d x

f (x) = \frac{100}{x}

\frac{d v}{d t} + \frac{k}{5} v + 9.8 = 0

\int 5 e^{0.3 x} d x

\frac{\partial}{\partial x} (\frac{x}{t})

What is the tangent of y=0.0006x^{0.837} ?
The tangent of y=0.0006x^{0.837} is y=(0.0005022)/(a_{0)^{0.163}}x+0.0000978a_{0}^{0.837}