Solve the problem.Consider the function L satisfying L'(x) = . Find the derivative Dx(L(x8)).

A.
B.
C.
D. 8


Answer: B

Mathematics

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Find  by using logarithmic differentiation.y = 

A.  +  - 
B. (ln x + ln(x - 1) - ln(x3 + 7))
C. 3
D.

Mathematics

Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = tan

A. y = tan u; u = ? -  =  sec2
B. y = tan u; u = ? -  = sec2
C. y = tan u; u = ? -  = sec2
D. y = tan u; u = ? -  =  sec tan

Mathematics

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions. Foci at (, 0), (-, 0); asymptotes y = 5x, y = -5x

A. x2 -  = 1
B.  - y2 = 1
C.   - x2 = 1
D. y2 -  = 1

Mathematics

Use the reciprocal and quotient identities to find the indicated function value.cot ? = , cos ? = - ; find sin ?

A. - 
B.
C.
D. - 

Mathematics