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

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

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

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

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derivative of

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

cos (5 x^{2}) \cdot 10 x

Solution steps

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

Apply the chain rule:

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

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

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

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

x \to 0 lim (e^{x (1 - s)})

\int x^{3} cos (6 x) d x

\int sin (\frac{nπ t}{2}) d t

\int (2 x^{2} + \frac{1}{( 2 x ) ^{2}}) d x

f (x) = - 2 x sin (x^{2})

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