What is the tangent of x^4 ?

The tangent of x^4 is y=4a_{0}^3x-3a_{0}^4

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tangent of x^4

tangent of

x^{4}

y = 4 a_{0}^{3} x - 3 a_{0}^{4}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, a_{0}^{4})

Find the slope of

y = x^{4} : \frac{d y}{d x} = 4 x^{3}

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 a_{0}^{3}

Find the line with slope m=

4 a_{0}^{3}

and passing through

(a_{0}, a_{0}^{4}) : y = 4 a_{0}^{3} x - 3 a_{0}^{4}

y = 4 a_{0}^{3} x - 3 a_{0}^{4}

\int 2 x e^{2 x} d x

\int_{1}^{2} \frac{x ^{5} + 5 x ^{8}}{x ^{4}} d x

\frac{d}{d x} (x^{\frac{1}{3}} + 2 x)

\int_{0}^{9} x d x

y^{^{''}} + 4 y = t - 2 sin (2 t)