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Popular >

derivative of tan(x+cos^2(x)+sin^2(x)-3)

Solution

\frac{d}{d x} (tan (x) + cos^{2} (x) + sin^{2} (x) - 3)

Solution

sec^{2} (x)

Solution steps

\frac{d}{d x} (tan (x) + cos^{2} (x) + sin^{2} (x) - 3)

Simplify

tan (x) + cos^{2} (x) + sin^{2} (x) - 3 : tan (x) - 2

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

= sec^{2} (x) - 0

Simplify

= sec^{2} (x)

Popular Examples

integral of (x-1)/(2x)

\int \frac{x - 1}{2 x} d x

derivative of y=x^3-9x^2+24x-15 derivative of

y = x^{3} - 9 x^{2} + 24 x - 15

area y=e^x,y=e^{-x},[-2,1]area

y = e^{x}, y = e^{- x}, [- 2, 1]

derivative of 1+2sin(x)

\frac{d}{d x} (1 + 2 sin (x))

derivative of ((x^3)/3+1/(4x))

\frac{d}{d x} (\frac{( x ^{3} )}{3} + \frac{1}{4 x})

Frequently Asked Questions (FAQ)

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