Find the derivative of x^3+5x?

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Answer 1 · 2018-05-18T20:37:51

#3x^2+5#

#"differentiate each term using the "color(blue)"power rule"#

#•color(white)(x)d/dx(ax^n)=nax^(n-1)#

#rArrd/dx(x^3+5x)#

#=3x^((3-1))+5x^0=3x^2+5#

Answer 2 · 2018-05-19T02:02:25

#3x^2+5#

Use the power rule, which states that,

#d/dx(a^x)=xa^(x-1)#

#:.=3x^(3-1)+5x^(1-1)#

#=3x^2+5x^0#

#=3x^2+5#