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Popular >

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

Solution

derivative of

sin (x) cos (x) - sin^{2} (x) + x

Solution

cos (2 x) - sin (2 x) + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= cos (2 x) - sin (2 x) + 1

Popular Examples

tangent of f(x)=sqrt(x/5),\at x=125 tangent of

f (x) = \frac{x}{5}, at x = 125

integral of 3xe^{-x}

\int 3 x e^{- x} d x

integral of (y+1)^2

\int (y + 1)^{2} d y

limit as x approaches 0 of (e^{8x}-1)/x

x \to 0 lim (\frac{e ^{8 x} - 1}{x})

slope ofintercept (2,1),(-4,-2)slope intercept

(2, 1), (- 4, - 2)

Frequently Asked Questions (FAQ)

What is the derivative of sin(x)cos(x)-sin^2(x)+x ?
The derivative of sin(x)cos(x)-sin^2(x)+x is cos(2x)-sin(2x)+1
What is the first derivative of sin(x)cos(x)-sin^2(x)+x ?
The first derivative of sin(x)cos(x)-sin^2(x)+x is cos(2x)-sin(2x)+1