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Popular >

derivative of ln((x+1^2)-e^{x^2})

Solution

\frac{d}{d x} (ln ((x + 1)^{2}) - e^{x^{2}})

Solution

\frac{2}{x + 1} - e^{x^{2}} \cdot 2 x

Solution steps

\frac{d}{d x} (ln ((x + 1)^{2}) - e^{x^{2}})

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{2}{x + 1} - e^{x^{2}} \cdot 2 x

Popular Examples

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

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\int_{- 1}^{6} (x + 3)^{3} d x

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Frequently Asked Questions (FAQ)

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