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Popular >

derivative of 3csc(x)+7cos(x)

Solution

derivative of

3 csc (x) + 7 cos (x)

Solution

- 3 cot (x) csc (x) - 7 sin (x)

Solution steps

\frac{d}{d x} (3 csc (x) + 7 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 csc (x)) + \frac{d}{d x} (7 cos (x))

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

\frac{d}{d x} (7 cos (x)) = - 7 sin (x)

= - 3 cot (x) csc (x) - 7 sin (x)

Popular Examples

integral of 7(tan^2(x)+tan^4(x))

\int 7 (tan^{2} (x) + tan^{4} (x)) d x

y^{''}+y=t,y(0)=1,y^'(0)=-1

y^{^{''}} + y = t, y (0) = 1, y^{^{'}} (0) = - 1

(\partial)/(\partial y)(x/(x^7-y^3))

\frac{\partial}{\partial y} (\frac{x}{x ^{7} - y ^{3}})

derivative of (3x^2+1/(x+2))

\frac{d}{d x} (\frac{3 x ^{2} + 1}{x + 2})

integral of (x+2)/((3+2x-x^2)^{3/2)}

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

Frequently Asked Questions (FAQ)

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