What is expand Dx(e^{4x}+cos(3x)) ?

The solution to expand Dx(e^{4x}+cos(3x)) is De^{4x}x+Dxcos(3x)

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expand Dx(e^{4x}+cos(3x))

expand

D x (e^{4 x} + cos (3 x))

D e^{4 x} x + D x cos (3 x)

Solution steps

D x (e^{4 x} + cos (3 x))

Apply the distributive law:

a (b + c) = ab + a c

a = D x, b = e^{4 x}, c = cos (3 x)

= D x e^{4 x} + D x cos (3 x)

= D e^{4 x} x + D x cos (3 x)

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What is expand Dx(e^{4x}+cos(3x)) ?
The solution to expand Dx(e^{4x}+cos(3x)) is De^{4x}x+Dxcos(3x)