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Popular >

derivative of 2sec(cos(x)+2tan(2x))

Solution

\frac{d}{d x} (2 sec (cos (x)) + 2 tan (2 x))

Solution

- 2 sec (cos (x)) tan (cos (x)) sin (x) + 4 sec^{2} (2 x)

Solution steps

\frac{d}{d x} (2 sec (cos (x)) + 2 tan (2 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 sec (cos (x))) + \frac{d}{d x} (2 tan (2 x))

\frac{d}{d x} (2 sec (cos (x))) = - 2 sec (cos (x)) tan (cos (x)) sin (x)

\frac{d}{d x} (2 tan (2 x)) = 4 sec^{2} (2 x)

= - 2 sec (cos (x)) tan (cos (x)) sin (x) + 4 sec^{2} (2 x)

Popular Examples

limit as x approaches 5 of (x^2+kx-20)/(x-5)

x \to 5 lim (\frac{x ^{2} + k x - 20}{x - 5})

slope ofintercept (1,128),(4,161)slope intercept

(1, 128), (4, 161)

derivative of ln(-1/x)

\frac{d}{d x} (ln (- \frac{1}{x}))

y^'=0.0875-(7y)/(2000),y(0)=50

y^{^{'}} = 0.0875 - \frac{7 y}{2000}, y (0) = 50

tangent of f(x)=((3x+5))/(1+x),\at x=1 tangent of

f (x) = \frac{( 3 x + 5 )}{1 + x}, at x = 1

Frequently Asked Questions (FAQ)

What is the derivative of 2sec(cos(x)+2tan(2x)) ?
The derivative of 2sec(cos(x)+2tan(2x)) is -2sec(cos(x))tan(cos(x))sin(x)+4sec^2(2x)
What is the first derivative of 2sec(cos(x)+2tan(2x)) ?
The first derivative of 2sec(cos(x)+2tan(2x)) is -2sec(cos(x))tan(cos(x))sin(x)+4sec^2(2x)