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Popular >

derivative of sin(x)+7/3 cot(x)

Solution

derivative of

sin (x) + \frac{7}{3} cot (x)

Solution

cos (x) - \frac{7}{3} csc^{2} (x)

Solution steps

\frac{d}{d x} (sin (x) + \frac{7}{3} cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{7}{3} cot (x))

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

\frac{d}{d x} (\frac{7}{3} cot (x)) = - \frac{7}{3} csc^{2} (x)

= cos (x) - \frac{7}{3} csc^{2} (x)

Popular Examples

integral from 1 to 2 of 1/(3-z)

\int_{1}^{2} \frac{1}{3 - z} d z

integral of ((x^7-4x^5+11)/(x^5))

\int (\frac{x ^{7} - 4 x ^{5} + 11}{x ^{5}}) d x

(\partial)/(\partial x)(e^xyx+ye^x+y^2ex^x)

\frac{\partial}{\partial x} (e^{x} y x + y e^{x} + y^{2} e x^{x})

limit as x approaches 1 of (1-2x)^{1/x}

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

derivative of f(x)=(t^3+3t)/(t^{3-4t+3)}derivative of

f (x) = \frac{t ^{3} + 3 t}{t ^{3 - 4 t + 3}}

Frequently Asked Questions (FAQ)

What is the derivative of sin(x)+7/3 cot(x) ?
The derivative of sin(x)+7/3 cot(x) is cos(x)-7/3 csc^2(x)
What is the first derivative of sin(x)+7/3 cot(x) ?
The first derivative of sin(x)+7/3 cot(x) is cos(x)-7/3 csc^2(x)