What is the derivative of tan(e^{2x}+e^{tan(2x)}) ?

The derivative of tan(e^{2x}+e^{tan(2x)}) is sec^2(e^{2x})e^{2x}*2+e^{tan(2x)}sec^2(2x)*2

What is the first derivative of tan(e^{2x}+e^{tan(2x)}) ?

The first derivative of tan(e^{2x}+e^{tan(2x)}) is sec^2(e^{2x})e^{2x}*2+e^{tan(2x)}sec^2(2x)*2

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\frac{d}{d x} (tan (e^{2 x}) + e^{t a n (2 x)})

sec^{2} (e^{2 x}) e^{2 x} \cdot 2 + e^{t a n (2 x)} sec^{2} (2 x) \cdot 2

Solution steps

\frac{d}{d x} (tan (e^{2 x}) + e^{t a n (2 x)})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (tan (e^{2 x})) + \frac{d}{d x} (e^{t a n (2 x)})

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

\frac{d}{d x} (e^{t a n (2 x)}) = e^{t a n (2 x)} sec^{2} (2 x) \cdot 2

= sec^{2} (e^{2 x}) e^{2 x} \cdot 2 + e^{t a n (2 x)} sec^{2} (2 x) \cdot 2

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

\int_{0}^{\infty} 5^{- x} d x

\int sec^{4} (x) d x

f (t) = t^{4}

(1436.53) \cdot (1.01395)^{t}

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