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

The derivative of f(x)=sin(x^5) is cos(x^5)*5x^4

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

The first derivative of f(x)=sin(x^5) is cos(x^5)*5x^4

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derivative of

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

cos (x^{5}) \cdot 5 x^{4}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{5}) = 5 x^{4}

= cos (x^{5}) \cdot 5 x^{4}

x \to - 2 lim (\frac{1}{( 2 + x ) ^{3}})

\int 13 x sin (x) d x

y^{^{'}} = y (x y^{2} + 5)

\int 3 (x) cos (\frac{x}{3}) d x

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

What is the derivative of f(x)=sin(x^5) ?
The derivative of f(x)=sin(x^5) is cos(x^5)*5x^4
What is the first derivative of f(x)=sin(x^5) ?
The first derivative of f(x)=sin(x^5) is cos(x^5)*5x^4