5. Let X have the pdf f(x) = 5x¹, 0 < x < 1, zero elsewhere. Find the pdf of Y = - 2ln(X).

Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) &gt; 0  on an interval, then f(x) is concave up on that interval.

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

A:

Q: Differentiate the function. h(t) = √t-8e* h'(t)

A:

Q: Calculate the derivative of the following function. y=f(g (5x*)), where f and g are differentiable…

A:

Q: Suppose that f(x) is a function with f(180) = 35 and f'(180) = 10. Estimate f(180.5). f(180.5)

A:

Q: Suppose that f(x) is a function with f(130) = 39 and f'(130) = 2. Estimate f(132).

A: f(x) is a function with f(130)=39 and f′(130)=2

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative