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Popular >

derivative of y=5csc(x)+6cos(x)

Solution

derivative of

y = 5 csc (x) + 6 cos (x)

Solution

- 5 cot (x) csc (x) - 6 sin (x)

Solution steps

\frac{d}{d x} (5 csc (x) + 6 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 csc (x)) + \frac{d}{d x} (6 cos (x))

\frac{d}{d x} (5 csc (x)) = - 5 cot (x) csc (x)

\frac{d}{d x} (6 cos (x)) = - 6 sin (x)

= - 5 cot (x) csc (x) - 6 sin (x)

Popular Examples

area y=sin(x),y=5x,x= pi/2 ,x=pi area

y = sin (x), y = 5 x, x = \frac{π}{2}, x = π

integral of 1/(2sqrt(x+3)+x)

\int \frac{1}{2 x + 3 + x} d x

xdy+(y-3xy)dx=0

x d y + (y - 3 x y) d x = 0

sum from n=1 to infinity of (ln(n))/(5n)

n = 1 \sum \infty \frac{ln ( n )}{5 n}

(\partial)/(\partial x)(\sqrt[3]{1/x})

Frequently Asked Questions (FAQ)

What is the derivative of y=5csc(x)+6cos(x) ?
The derivative of y=5csc(x)+6cos(x) is -5cot(x)csc(x)-6sin(x)
What is the first derivative of y=5csc(x)+6cos(x) ?
The first derivative of y=5csc(x)+6cos(x) is -5cot(x)csc(x)-6sin(x)