What is the tangent of 2x^4+(3x)/5 ?

The tangent of 2x^4+(3x)/5 is y=(8a_{0}^3+3/5)x-6a_{0}^4

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tangent of 2x^4+(3x)/5

tangent of

2 x^{4} + \frac{3 x}{5}

y = (8 a_{0}^{3} + \frac{3}{5}) x - 6 a_{0}^{4}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 2 a_{0}^{4} + \frac{3 a _{0}}{5})

Find the slope of

y = 2 x^{4} + \frac{3 x}{5} : \frac{d y}{d x} = 8 x^{3} + \frac{3}{5}

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 = 8 a_{0}^{3} + \frac{3}{5}

Find the line with slope m=

8 a_{0}^{3} + \frac{3}{5}

and passing through

(a_{0}, 2 a_{0}^{4} + \frac{3 a _{0}}{5}) : y = (8 a_{0}^{3} + \frac{3}{5}) x - 6 a_{0}^{4}

y = (8 a_{0}^{3} + \frac{3}{5}) x - 6 a_{0}^{4}

\int cos (\frac{2 πn x}{3}) d x

\frac{d ^{2}}{d x ^{2}} (21 e^{\frac{1}{x}})

\int_{\frac{9}{2}}^{9} 81 - x^{2} d x

x \to \infty lim ((1 - \frac{2}{x})^{x + 3})

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

What is the tangent of 2x^4+(3x)/5 ?
The tangent of 2x^4+(3x)/5 is y=(8a_{0}^3+3/5)x-6a_{0}^4