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Popular >

derivative of sin(x+3/4 cot(x))

Solution

\frac{d}{d x} (sin (x) + \frac{3}{4} cot (x))

Solution

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

Solution steps

\frac{d}{d x} (sin (x) + \frac{3}{4} cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{3}{4} cot (x))

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

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

= cos (x) - \frac{3}{4} csc^{2} (x)

Popular Examples

(\partial)/(\partial x)(cos(xy^2))

\frac{\partial}{\partial x} (cos (x y^{2}))

y^{''}+4y=e^{(-t)}

y^{^{''}} + 4 y = e^{(- t)}

derivative of csc(sqrt(x+5))derivative of

csc (x + 5)

(dy}{dx}-(\frac{1+x)/x)y=(y^2)/x

\frac{d y}{d x} - (\frac{1 + x}{x}) y = \frac{y ^{2}}{x}

integral from 1 to 3 of 4

\int_{1}^{3} 4 d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(x+3/4 cot(x)) ?
The derivative of sin(x+3/4 cot(x)) is cos(x)-3/4 csc^2(x)
What is the first derivative of sin(x+3/4 cot(x)) ?
The first derivative of sin(x+3/4 cot(x)) is cos(x)-3/4 csc^2(x)