What is the derivative of f(x)=cos(5x^2) ?

The derivative of f(x)=cos(5x^2) is -sin(5x^2)*10x

What is the first derivative of f(x)=cos(5x^2) ?

The first derivative of f(x)=cos(5x^2) is -sin(5x^2)*10x

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derivative of

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

- sin (5 x^{2}) \cdot 10 x

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (5 x^{2}) \cdot 10 x

\int (y - 1)^{2} d y

\frac{\partial}{\partial x} (4 y e^{x})

\frac{d}{d θ} (tan (θ))

\frac{d}{d x} (x \cdot y)

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

What is the derivative of f(x)=cos(5x^2) ?
The derivative of f(x)=cos(5x^2) is -sin(5x^2)*10x
What is the first derivative of f(x)=cos(5x^2) ?
The first derivative of f(x)=cos(5x^2) is -sin(5x^2)*10x