What is the slope of sin(x^2) ?

The slope of sin(x^2) is cos(x^2)*2x

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slope of sin(x^2)

slope

sin (x^{2})

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

Solution steps

y = sin (x^{2})

In order to find the slope of the function, take the derivative of

sin (x^{2})

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

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

\frac{\partial}{\partial x} (y^{3} sin (x + y))

\frac{d}{d x} (\frac{x}{x ^{- 1} + 9})

\int (\frac{3 x ^{2}}{64 - x ^{2}}) d x

x \to 0 + lim (\frac{x ^{- 2}}{x})

\int x 36 - x^{2} d x