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Please help me Make sure you read the questions carefully and answer all the questions. 6.) Let h(x) = f(x)*g(x) = x * sec(x) a.)

Please help me

Make sure you read the questions carefully and answer all the questions.

6.) Let h(x) = f(x)*g(x) = x * sec(x)

a.) Find h'(x) using the product rule.

b.) Plot h(x) and your h'(x) for x >=0.

c.) For what values of -1 < x < 5 does h(x) have a rel max or rel min?

d.) Does your h'(x) = 0 when h(x) has a rel max or rel min? (yes or no)

7.) Leth(x) = f(x)/g(x) = x/sin(x)

a.) Find h'(x) using the quotient rule.

b.) Plot h(x) and your h'(x) for x > = 0.

c.) For what values of 0 < x < 5 does h(x) have a rel max or rel min?

d.) Does your h'(x) = 0 when h(x) has a rel max or rel min? (yes or no)

8.) Let f(x) = (x2-2x +4)3. Find the derivative f '(x) using the power rule and an appropriate u substitution.

9.) Let f(x) = cos(x2- 1). Find the derivative of f(x) using the power rule and an appropriate u substitution.

10.) Find the derivative of: f(x) = tan(2x2).

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