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Popular >

derivative of e^{cos(x-2sec(x)})

Solution

\frac{d}{d x} (e^{c o s (x) - 2 s e c (x)})

Solution

e^{c o s (x) - 2 s e c (x)} (- sin (x) - 2 sec (x) tan (x))

Solution steps

\frac{d}{d x} (e^{c o s (x) - 2 s e c (x)})

Apply the chain rule:

e^{c o s (x) - 2 s e c (x)} \frac{d}{d x} (cos (x) - 2 sec (x))

= e^{c o s (x) - 2 s e c (x)} \frac{d}{d x} (cos (x) - 2 sec (x))

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

= e^{c o s (x) - 2 s e c (x)} (- sin (x) - 2 sec (x) tan (x))

Graph

Popular Examples

(d^3)/(dx^3)(-sin(3x))

\frac{d ^{3}}{d x ^{3}} (- sin (3 x))

integral of (ln(6x))^2

\int (ln (6 x))^{2} d x

(dy)/(dx)=k*y^2

\frac{d y}{d x} = k \cdot y^{2}

integral of sin^5(x)cos^7(x)

\int sin^{5} (x) cos^{7} (x) d x

(dy)/(dx)= 1/(1+x)

\frac{d y}{d x} = \frac{1}{1 + x}

Frequently Asked Questions (FAQ)

What is the derivative of e^{cos(x-2sec(x)}) ?
The derivative of e^{cos(x-2sec(x)}) is e^{cos(x)-2sec(x)}(-sin(x)-2sec(x)tan(x))
What is the first derivative of e^{cos(x-2sec(x)}) ?
The first derivative of e^{cos(x-2sec(x)}) is e^{cos(x)-2sec(x)}(-sin(x)-2sec(x)tan(x))