What is the derivative of (x^7)/7+(x^5)/5 (x^3)/3+x ?

The derivative of (x^7)/7+(x^5)/5 (x^3)/3+x is x^6+(8x^7)/(15)+1

What is the first derivative of (x^7)/7+(x^5)/5 (x^3)/3+x ?

The first derivative of (x^7)/7+(x^5)/5 (x^3)/3+x is x^6+(8x^7)/(15)+1

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derivative of

\frac{x ^{7}}{7} + \frac{x ^{5}}{5} \frac{x ^{3}}{3} + x

x^{6} + \frac{8 x ^{7}}{15} + 1

Solution steps

\frac{d}{d x} (\frac{x ^{7}}{7} + \frac{x ^{5}}{5} \cdot \frac{x ^{3}}{3} + x)

Simplify

\frac{x ^{7}}{7} + \frac{x ^{5}}{5} \cdot \frac{x ^{3}}{3} + x : \frac{x ^{7}}{7} + \frac{x ^{8}}{15} + x

= \frac{d}{d x} (\frac{x ^{7}}{7} + \frac{x ^{8}}{15} + x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{7}}{7}) + \frac{d}{d x} (\frac{x ^{8}}{15}) + \frac{d x}{d x}

\frac{d}{d x} (\frac{x ^{7}}{7}) = x^{6}

\frac{d}{d x} (\frac{x ^{8}}{15}) = \frac{8 x ^{7}}{15}

\frac{d x}{d x} = 1

= x^{6} + \frac{8 x ^{7}}{15} + 1

5 cos^{2} (3 x)

u + 1

5^{x + 3}

x^{3} - x + 2

\frac{1}{( a + x ) ^{2}}

What is the derivative of (x^7)/7+(x^5)/5 (x^3)/3+x ?
The derivative of (x^7)/7+(x^5)/5 (x^3)/3+x is x^6+(8x^7)/(15)+1
What is the first derivative of (x^7)/7+(x^5)/5 (x^3)/3+x ?
The first derivative of (x^7)/7+(x^5)/5 (x^3)/3+x is x^6+(8x^7)/(15)+1