What is the derivative of A(e^x+e^{xx}) ?

The derivative of A(e^x+e^{xx}) is A(e^x+e^{x^2}*2x)

What is the first derivative of A(e^x+e^{xx}) ?

The first derivative of A(e^x+e^{xx}) is A(e^x+e^{x^2}*2x)

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\frac{d}{d x} (A (e^{x} + e^{xx}))

A (e^{x} + e^{x^{2}} \cdot 2 x)

Solution steps

\frac{d}{d x} (A (e^{x} + e^{xx}))

Simplify

A (e^{x} + e^{xx}) : A (e^{x} + e^{x^{2}})

= \frac{d}{d x} (A (e^{x} + e^{x^{2}}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= A \frac{d}{d x} (e^{x} + e^{x^{2}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= A (\frac{d}{d x} (e^{x}) + \frac{d}{d x} (e^{x^{2}}))

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (e^{x^{2}}) = e^{x^{2}} \cdot 2 x

= A (e^{x} + e^{x^{2}} \cdot 2 x)

y^{^{''}} + 13 y^{^{'}} + 30 y = 0, y (0) = 1, y^{^{'}} (0) = 0

x \to \infty lim (\frac{5}{x} - 2)

\int (3 x + 5)^{3} d x

f (x) = x^{4} sin (4 x)

x \to 2 lim (x (2))

What is the derivative of A(e^x+e^{xx}) ?
The derivative of A(e^x+e^{xx}) is A(e^x+e^{x^2}*2x)
What is the first derivative of A(e^x+e^{xx}) ?
The first derivative of A(e^x+e^{xx}) is A(e^x+e^{x^2}*2x)