What is the derivative of y=-2e^{5x^2} ?

The derivative of y=-2e^{5x^2} is -20e^{5x^2}x

What is the first derivative of y=-2e^{5x^2} ?

The first derivative of y=-2e^{5x^2} is -20e^{5x^2}x

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derivative of

y = - 2 e^{5 x^{2}}

- 20 e^{5 x^{2}} x

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 2 \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

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

Simplify

= - 20 e^{5 x^{2}} x

4 y^{^{''}} - 25 y = 0

f (x) = 2 + x

(2 x^{3} + y^{3}) d x - 3 x y^{2} d y = 0

\frac{d}{d θ} (sin (θ) cos (θ))

\int e^{s i n (π) x} cos (π) x d x

What is the derivative of y=-2e^{5x^2} ?
The derivative of y=-2e^{5x^2} is -20e^{5x^2}x
What is the first derivative of y=-2e^{5x^2} ?
The first derivative of y=-2e^{5x^2} is -20e^{5x^2}x