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Differentiate (2x+2)(x-5)^8 with Respect to X. 8(2x+2)(x-5)^7+2(x-5)^8 (2x+2)(x-5)^7+2(x-5)^8 2(x-5)^8 16(x-5)^7

Question

Differentiate (2x+2)(x-5)^8 with respect to x. 8(2x+2)(x-5)^7+2(x-5)^8 (2x+2)(x-5)^7+2(x-5)^8 2(x-5)^8 16(x-5)^7

Solution

Verificación de expertos
4.4 (306 Votos)
Karla Maria Elite · Tutor por 8 anos

Resposta

To differentiate the given expression with respect to , we can use the product rule of differentiation.The product rule states that if we have two functions and , then the derivative of their product is given by: In this case, let and .Now, let's differentiate each function separately: Now, applying the product rule: Substituting the values of , , , and : Simplifying the expression: Therefore, the correct answer is: