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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d y}{d x} = y x^{5} sin (x^{6})

y^{^{''}} + 5^{2} y = 0

\frac{d}{d x} (- \frac{1}{2})

\frac{d y}{d x} = \frac{y}{x} + 2 x + 1

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