What is the derivative of axsin(kx+bxcos(kx)) ?

The derivative of axsin(kx+bxcos(kx)) is a(sin(kx)+kxcos(kx))+b(cos(kx)-kxsin(kx))

What is the first derivative of axsin(kx+bxcos(kx)) ?

The first derivative of axsin(kx+bxcos(kx)) is a(sin(kx)+kxcos(kx))+b(cos(kx)-kxsin(kx))

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\frac{d}{d x} (a x sin (k x) + b x cos (k x))

a (sin (k x) + k x cos (k x)) + b (cos (k x) - k x sin (k x))

Solution steps

\frac{d}{d x} (a x sin (k x) + b x cos (k x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a x sin (k x)) + \frac{d}{d x} (b x cos (k x))

\frac{d}{d x} (a x sin (k x)) = a (sin (k x) + k x cos (k x))

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

= a (sin (k x) + k x cos (k x)) + b (cos (k x) - k x sin (k x))

f (x) = 5 x + 2

f (x) = - 2 ln (x) + x^{2} - 4 + e^{x} + x^{e}

\frac{d}{d x} (2^{l n (x)})

\frac{d ^{3}}{d x ^{3}} (2 x^{3} - 4)

\frac{\partial}{\partial x} (e^{- 2 x} cos (9 π t))

What is the derivative of axsin(kx+bxcos(kx)) ?
The derivative of axsin(kx+bxcos(kx)) is a(sin(kx)+kxcos(kx))+b(cos(kx)-kxsin(kx))
What is the first derivative of axsin(kx+bxcos(kx)) ?
The first derivative of axsin(kx+bxcos(kx)) is a(sin(kx)+kxcos(kx))+b(cos(kx)-kxsin(kx))