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

The derivative of e^{x^2}-cos(x) is 2e^{x^2}x+sin(x)

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

The first derivative of e^{x^2}-cos(x) is 2e^{x^2}x+sin(x)

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

2 e^{x^{2}} x + sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

= e^{x^{2}} \cdot 2 x - (- sin (x))

Simplify

= 2 e^{x^{2}} x + sin (x)

\int \frac{4}{x ^{5}} d x

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\frac{d}{d x} (3^{x} ln (x))

- 3 e^{- t}

\int \frac{4 x ^{2} - 25}{x ^{3}} d x

What is the derivative of e^{x^2}-cos(x) ?
The derivative of e^{x^2}-cos(x) is 2e^{x^2}x+sin(x)
What is the first derivative of e^{x^2}-cos(x) ?
The first derivative of e^{x^2}-cos(x) is 2e^{x^2}x+sin(x)