What is the derivative of (x+e^{2x}^3) ?

The derivative of (x+e^{2x}^3) is 3(x+e^{2x})^2(1+e^{2x}*2)

What is the first derivative of (x+e^{2x}^3) ?

The first derivative of (x+e^{2x}^3) is 3(x+e^{2x})^2(1+e^{2x}*2)

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

3 (x + e^{2 x})^{2} (1 + e^{2 x} \cdot 2)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + e^{2 x}) = 1 + e^{2 x} \cdot 2

= 3 (x + e^{2 x})^{2} (1 + e^{2 x} \cdot 2)

\int (sec (x))^{3} d x

\frac{7 x}{2 ^{x}}

(- 8, - 4), (- 6, - 1)

y = \frac{4}{3} x + 2

x \to \infty lim (\frac{+ x - 2 ^{+ x}}{3 ^{x} - 5})

What is the derivative of (x+e^{2x}^3) ?
The derivative of (x+e^{2x}^3) is 3(x+e^{2x})^2(1+e^{2x}*2)
What is the first derivative of (x+e^{2x}^3) ?
The first derivative of (x+e^{2x}^3) is 3(x+e^{2x})^2(1+e^{2x}*2)