What is the tangent of y=e^s(s^3+5),(0,5) ?

The tangent of y=e^s(s^3+5),(0,5) is y=5x+5

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tangent of y=e^s(s^3+5),(0,5)

tangent of

y = e^{x} (x^{3} + 5), (0, 5)

y = 5 x + 5

Solution steps

Find the slope of

y = e^{x} (x^{3} + 5) : \frac{d y}{d x} = e^{x} (x^{3} + 5) + 3 x^{2} e^{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 = 5

Find the line with slope m=

5

and passing through

(0, 5) : y = 5 x + 5

y = 5 x + 5

\int \frac{e ^{6 x}}{e ^{2 x}} d x

\frac{\partial}{\partial x} (2 x + y^{10})

\int (π^{2} - 1) d x

\int 4 x ln (6 x) d x

100 y^{^{''}} - 20 y^{^{'}} + y = 0

What is the tangent of y=e^s(s^3+5),(0,5) ?
The tangent of y=e^s(s^3+5),(0,5) is y=5x+5