# How do you find the derivative of #S(r)=9r^2+3tanr#?

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To find the derivative of ( S(r) = 9r^2 + 3 \tan(r) ), you apply the power rule and the derivative of tangent function.

The derivative of ( 9r^2 ) with respect to ( r ) using the power rule is ( 18r ).

The derivative of ( 3 \tan(r) ) with respect to ( r ) can be found using the derivative of tangent function which is ( \sec^2(r) ).

Therefore, the derivative of ( S(r) ) is ( S'(r) = 18r + 3 \sec^2(r) ).

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