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Popular >

derivative of f(x)=sin(x)+6/7 cot(x)

Solution

derivative of

f (x) = sin (x) + \frac{6}{7} cot (x)

Solution

cos (x) - \frac{6}{7} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{6}{7} cot (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{6}{7} cot (x))

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (\frac{6}{7} cot (x)) = - \frac{6}{7} csc^{2} (x)

= cos (x) - \frac{6}{7} csc^{2} (x)

Popular Examples

limit as x approaches 2 of 5a+ax

x \to 2 lim (5 a + a x)

(dy)/(dx)-5y=e^x

\frac{d y}{d x} - 5 y = e^{x}

limit as x approaches 0 of (cos(5x)-1)/(sin(9x))

x \to 0 lim (\frac{cos ( 5 x ) - 1}{sin ( 9 x )})

(dy)/(dx)=(2-e^x)/(3+2y)

\frac{d y}{d x} = \frac{2 - e ^{x}}{3 + 2 y}

derivative of (8x+7)^2 derivative of

(8 x + 7)^{2}

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sin(x)+6/7 cot(x) ?
The derivative of f(x)=sin(x)+6/7 cot(x) is cos(x)-6/7 csc^2(x)
What is the first derivative of f(x)=sin(x)+6/7 cot(x) ?
The first derivative of f(x)=sin(x)+6/7 cot(x) is cos(x)-6/7 csc^2(x)