What is the derivative of cos(x+x^{5/4}) ?

The derivative of cos(x+x^{5/4}) is -sin(x)+(5x^{1/4})/4

What is the first derivative of cos(x+x^{5/4}) ?

The first derivative of cos(x+x^{5/4}) is -sin(x)+(5x^{1/4})/4

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

- sin (x) + \frac{5 x ^{\frac{1}{4}}}{4}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (x^{\frac{5}{4}}) = \frac{5 x ^{\frac{1}{4}}}{4}

= - sin (x) + \frac{5 x ^{\frac{1}{4}}}{4}

y^{^{''}} - 4 y^{^{'}} - 5 y = 5 x

\int \frac{1}{s ^{2} ( s - 1 ) ^{2}} d s

\int 6 x^{2} + 1 d x

x \to 0 + lim (- \frac{1}{x ^{2}})

y^{^{''}} - 5 y^{^{'}} + 9 y = x e^{x}

What is the derivative of cos(x+x^{5/4}) ?
The derivative of cos(x+x^{5/4}) is -sin(x)+(5x^{1/4})/4
What is the first derivative of cos(x+x^{5/4}) ?
The first derivative of cos(x+x^{5/4}) is -sin(x)+(5x^{1/4})/4