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webession.net This question has several parts that must be completed sequentially. If you skip a part of the question, you will not rece will not be able to come back to the shipped part. Tutorial Exercise Find the derivative of the function. Simplify and express the answer using positive exponents only. ROX) = (x*(x2 + 5x)) Step 1 We want to find the derivative of the function R(x) = (x?(x2 + 5x), simplifying and expressing the answer using positive exponents only. We begin by raising both factors inside the brackets to the sixth power. This gives R(x) = x + 5x) Step 2 We now proceed to take the derivative. Since we rewrote our function as a product of two functions, the first rule we use will be the Product Rule. While using this rule, we will have to also use the Chain Rule. RA) =x*a[6x? +5* 5x)? (x2 + 5x)Ⓡ(12x+1) = 6(x²+ 1)+<** + 5472x+1) * (*2 + 5x)"tx(2x + 5) + 2(x2 + 5x)] x2 + = 6x x x² + 5x){ x] 6x10(x2 + 5x)(4x® + 15x2) Submit Skip (you cannot come back)

Answer 1

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Solve We have RIX) = (x*(x2+ 5x)) R(W) x'2 (42+50)6 Now R'(X) x"[66x450) (24+5)] + (x245x)“ (121) ROW = 6(x+*5*3*{x}(2x + 5) + (x+*5*j (2x"}] lu 6 x (x2+5x) 5 [ x(24+5) + 2 (x2+5v.) = 6x" (**+5x) [ 4. x2 +15 60% x'' (x++5x) 5 (4x3+ 15x2)