What is the derivative of 3x^2cos(xcot(x)) ?

The derivative of 3x^2cos(xcot(x)) is 3(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)

What is the first derivative of 3x^2cos(xcot(x)) ?

The first derivative of 3x^2cos(xcot(x)) is 3(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)

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\frac{d}{d x} (3 x^{2} cos (x) cot (x))

3 (2 x cos (x) cot (x) + (- cos (x) - cot (x) csc (x)) x^{2})

Solution steps

\frac{d}{d x} (3 x^{2} cos (x) cot (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (x^{2} cos (x) cot (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = cos (x) cot (x)

= 3 (\frac{d}{d x} (x^{2}) cos (x) cot (x) + \frac{d}{d x} (cos (x) cot (x)) x^{2})

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

\frac{d}{d x} (cos (x) cot (x)) = - cos (x) - cot (x) csc (x)

= 3 (2 x cos (x) cot (x) + (- cos (x) - cot (x) csc (x)) x^{2})

x = 6 y^{2}, x = 16 + 2 y^{2}

x \to - \infty lim (\frac{5 x ^{2} - sin ( 3 x )}{x ^{2} + 10})

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

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

y^{^{'}} = (cos^{2} (x)) (cos^{2} (6 y))

What is the derivative of 3x^2cos(xcot(x)) ?
The derivative of 3x^2cos(xcot(x)) is 3(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)
What is the first derivative of 3x^2cos(xcot(x)) ?
The first derivative of 3x^2cos(xcot(x)) is 3(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)