What is the derivative of (x^2-6e^{8x}) ?

The derivative of (x^2-6e^{8x}) is 2xe^{8x}+e^{8x}*8(x^2-6)

What is the first derivative of (x^2-6e^{8x}) ?

The first derivative of (x^2-6e^{8x}) is 2xe^{8x}+e^{8x}*8(x^2-6)

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\frac{d}{d x} ((x^{2} - 6) e^{8 x})

2 x e^{8 x} + e^{8 x} \cdot 8 (x^{2} - 6)

Solution steps

\frac{d}{d x} ((x^{2} - 6) e^{8 x})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2} - 6, g = e^{8 x}

= \frac{d}{d x} (x^{2} - 6) e^{8 x} + \frac{d}{d x} (e^{8 x}) (x^{2} - 6)

\frac{d}{d x} (x^{2} - 6) = 2 x

\frac{d}{d x} (e^{8 x}) = e^{8 x} \cdot 8

= 2 x e^{8 x} + e^{8 x} \cdot 8 (x^{2} - 6)

\int 0 x d x

y = x^{2} (5 x - 1)^{3}

f (x) = (3 x + 1) (5 x + 4)

x \to 0 lim (cos (x^{2} + x))

\int \frac{1 - x ^{2}}{x} d x

What is the derivative of (x^2-6e^{8x}) ?
The derivative of (x^2-6e^{8x}) is 2xe^{8x}+e^{8x}*8(x^2-6)
What is the first derivative of (x^2-6e^{8x}) ?
The first derivative of (x^2-6e^{8x}) is 2xe^{8x}+e^{8x}*8(x^2-6)