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Popular >

derivative of 3sin^2(x+sec(2x))

Solution

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

Solution

3 sin (2 x) + sec (2 x) tan (2 x) \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 sin^{2} (x)) + \frac{d}{d x} (sec (2 x))

\frac{d}{d x} (3 sin^{2} (x)) = 3 sin (2 x)

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

= 3 sin (2 x) + sec (2 x) tan (2 x) \cdot 2

Graph

Popular Examples

tangent of f(x)=sqrt(x)+1/x ,\at x=4 tangent of

f (x) = x + \frac{1}{x}, at x = 4

integral of (3t+5)cos(t/4)

\int (3 t + 5) cos (\frac{t}{4}) d t

f(x)=3x^{(2)}-5x-6

f (x) = 3 x^{(2)} - 5 x - 6

derivative of sqrt(16x)

\frac{d}{d x} (16 x)

d/(dy)(yln(y)-e^{-xy})

\frac{d}{d y} (y ln (y) - e^{- x y})

Frequently Asked Questions (FAQ)

What is the derivative of 3sin^2(x+sec(2x)) ?
The derivative of 3sin^2(x+sec(2x)) is 3sin(2x)+sec(2x)tan(2x)*2
What is the first derivative of 3sin^2(x+sec(2x)) ?
The first derivative of 3sin^2(x+sec(2x)) is 3sin(2x)+sec(2x)tan(2x)*2