What is the derivative of cos(3x^5+1) ?

The derivative of cos(3x^5+1) is -sin(3x^5+1)*15x^4

What is the first derivative of cos(3x^5+1) ?

The first derivative of cos(3x^5+1) is -sin(3x^5+1)*15x^4

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\frac{d}{d x} (cos (3 x^{5} + 1))

- sin (3 x^{5} + 1) \cdot 15 x^{4}

Solution steps

\frac{d}{d x} (cos (3 x^{5} + 1))

Apply the chain rule:

- sin (3 x^{5} + 1) \frac{d}{d x} (3 x^{5} + 1)

= - sin (3 x^{5} + 1) \frac{d}{d x} (3 x^{5} + 1)

\frac{d}{d x} (3 x^{5} + 1) = 15 x^{4}

= - sin (3 x^{5} + 1) \cdot 15 x^{4}

x \to \infty lim (x^{2} + y)

x y^{^{'}} + 3 y = \frac{e ^{x}}{x}

\int \frac{1}{( x ^{2} - 36 ) ^{2}} d x

\int x sin (3 x + 2) d x

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

What is the derivative of cos(3x^5+1) ?
The derivative of cos(3x^5+1) is -sin(3x^5+1)*15x^4
What is the first derivative of cos(3x^5+1) ?
The first derivative of cos(3x^5+1) is -sin(3x^5+1)*15x^4