What is the derivative of 8x^2cos(x)cot(x) ?

The derivative of 8x^2cos(x)cot(x) is 8(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)

What is the first derivative of 8x^2cos(x)cot(x) ?

The first derivative of 8x^2cos(x)cot(x) is 8(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)

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derivative of

8 x^{2} cos (x) cot (x)

8 (2 x cos (x) cot (x) + (- cos (x) - cot (x) csc (x)) x^{2})

Solution steps

\frac{d}{d x} (8 x^{2} cos (x) cot (x))

Take the constant out:

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

= 8 \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)

= 8 (\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)

= 8 (2 x cos (x) cot (x) + (- cos (x) - cot (x) csc (x)) x^{2})

y^{^{'}} = \frac{6 x ^{6} e ^{\frac{y}{x}} + x ^{4} y ^{2}}{x ^{5} y}

\int (x^{2} - 7 x + 5) d x

\frac{d}{d x} (\frac{4 - 2 x - x ^{3}}{3 x - x ^{4}})

y = 0, y = 9 - x^{2}, y = 0

f (x) = \frac{1}{x ^{4}}, (3, \frac{1}{81})

What is the derivative of 8x^2cos(x)cot(x) ?
The derivative of 8x^2cos(x)cot(x) is 8(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)
What is the first derivative of 8x^2cos(x)cot(x) ?
The first derivative of 8x^2cos(x)cot(x) is 8(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)