What is the tangent of f(x)=e^xsin(x),(0,0) ?

The tangent of f(x)=e^xsin(x),(0,0) is y=x

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tangent of f(x)=e^xsin(x),(0,0)

tangent of

f (x) = e^{x} sin (x), (0, 0)

y = x

Solution steps

Find the slope of

f (x) = e^{x} sin (x) : \frac{df ( x )}{d x} = e^{x} sin (x) + cos (x) e^{x}

Compute the slope of

f (x) = e^{x} sin (x)

(0, 0) : m = 1

Find the line with slope m=

1

and passing through

(0, 0) : y = x

y = x

y = \frac{3 + 7 x - 8 x}{x}

(x^{2} e^{x + 3})^{^{'}}

y^{^{'}} = - 3 y + e^{- 2 x}, y (0) = 0

f (x) = \frac{2}{1 + x ^{2}}, h (x) = x^{2}

\frac{d y}{d x} = (\frac{( x y ) ^{2}}{8} + y^{2})

What is the tangent of f(x)=e^xsin(x),(0,0) ?
The tangent of f(x)=e^xsin(x),(0,0) is y=x