What is the derivative of f(x)=e^{5x^2} ?

The derivative of f(x)=e^{5x^2} is e^{5x^2}*10x

What is the first derivative of f(x)=e^{5x^2} ?

The first derivative of f(x)=e^{5x^2} is e^{5x^2}*10x

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derivative of

f (x) = e^{5 x^{2}}

e^{5 x^{2}} \cdot 10 x

Solution steps

\frac{d}{d x} (e^{5 x^{2}})

Apply the chain rule:

e^{5 x^{2}} \frac{d}{d x} (5 x^{2})

= e^{5 x^{2}} \frac{d}{d x} (5 x^{2})

\frac{d}{d x} (5 x^{2}) = 10 x

= e^{5 x^{2}} \cdot 10 x

t an g e n t y = sin (2 x), at x = \frac{π}{2}

t an g e n t 2 x^{2} + 3 x - 2, at x = 0

d er i v a t i v e f (x) = \frac{3}{x ^{2}} + \frac{5}{x ^{4}}

\frac{d y}{d x} = 4 x + \frac{4 x}{16 - x ^{2}}

x \to 8 lim (\frac{3 x ^{2}}{4})

What is the derivative of f(x)=e^{5x^2} ?
The derivative of f(x)=e^{5x^2} is e^{5x^2}*10x
What is the first derivative of f(x)=e^{5x^2} ?
The first derivative of f(x)=e^{5x^2} is e^{5x^2}*10x