What is the derivative of h(x)=xcos(x)+3pi ?

The derivative of h(x)=xcos(x)+3pi is -xsin(x)+cos(x)

What is the first derivative of h(x)=xcos(x)+3pi ?

The first derivative of h(x)=xcos(x)+3pi is -xsin(x)+cos(x)

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derivative of

h (x) = x cos (x) + 3 π

- x sin (x) + cos (x)

Solution steps

\frac{d}{d x} (x cos (x) + 3 π)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x cos (x)) + \frac{d}{d x} (3 π)

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

\frac{d}{d x} (3 π) = 0

= cos (x) - x sin (x) + 0

Simplify

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

x \to 4 lim (cos (\frac{π x}{3}))

\int \frac{4 e ^{x}}{e ^{2 x} + 6 e ^{x} + 9} d x

y = 3.6 x + 500

\frac{d}{d x} (2 x^{3} - 15 x^{2} - 36 x)

- 4 e^{- 5 x^{2}}

What is the derivative of h(x)=xcos(x)+3pi ?
The derivative of h(x)=xcos(x)+3pi is -xsin(x)+cos(x)
What is the first derivative of h(x)=xcos(x)+3pi ?
The first derivative of h(x)=xcos(x)+3pi is -xsin(x)+cos(x)