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

The derivative of cos(x^2e^x) is -sin(x^2e^x)(2xe^x+e^xx^2)

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

The first derivative of cos(x^2e^x) is -sin(x^2e^x)(2xe^x+e^xx^2)

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

x \to - 2 lim (- x^{2} + 5 x - 1)

F (s) = \frac{s ^{2} - 2 s - 6}{s - 2}

x \to 3 + lim (\frac{x + 2}{x - 2})

\frac{d}{d x} (x^{l n (x)})

\frac{d y}{d x} = \frac{y}{2}

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