What is the derivative of f(x)=5x^4+8sin(x) ?

The derivative of f(x)=5x^4+8sin(x) is 20x^3+8cos(x)

What is the first derivative of f(x)=5x^4+8sin(x) ?

The first derivative of f(x)=5x^4+8sin(x) is 20x^3+8cos(x)

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derivative of

f (x) = 5 x^{4} + 8 sin (x)

20 x^{3} + 8 cos (x)

Solution steps

\frac{d}{d x} (5 x^{4} + 8 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{4}) + \frac{d}{d x} (8 sin (x))

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

\frac{d}{d x} (8 sin (x)) = 8 cos (x)

= 20 x^{3} + 8 cos (x)

(- e^{- x})^{^{'}}

\frac{s}{s ^{2} + 4}

\int \frac{5}{1 + x ^{2}} d x

\int 4 x e^{8 x} d x

y^{^{''}} + 6 y^{^{'}} + 5 y = 0

What is the derivative of f(x)=5x^4+8sin(x) ?
The derivative of f(x)=5x^4+8sin(x) is 20x^3+8cos(x)
What is the first derivative of f(x)=5x^4+8sin(x) ?
The first derivative of f(x)=5x^4+8sin(x) is 20x^3+8cos(x)