What is the derivative of 2x-e^{4x^2} ?

The derivative of 2x-e^{4x^2} is 2-e^{4x^2}*8x

What is the first derivative of 2x-e^{4x^2} ?

The first derivative of 2x-e^{4x^2} is 2-e^{4x^2}*8x

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derivative of

2 x - e^{4 x^{2}}

2 - e^{4 x^{2}} \cdot 8 x

Solution steps

\frac{d}{d x} (2 x - e^{4 x^{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (e^{4 x^{2}})

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (e^{4 x^{2}}) = e^{4 x^{2}} \cdot 8 x

= 2 - e^{4 x^{2}} \cdot 8 x

sin^{2} (2 x + 5)

y = \frac{( x ^{2} - 2 x )}{( x + 1 )}

\frac{d}{d t} (10 + 5 t + 2 t^{2})

\frac{d}{d n} ((1 - i)^{n - 1})

60 t^{2} - 60 t

What is the derivative of 2x-e^{4x^2} ?
The derivative of 2x-e^{4x^2} is 2-e^{4x^2}*8x
What is the first derivative of 2x-e^{4x^2} ?
The first derivative of 2x-e^{4x^2} is 2-e^{4x^2}*8x