If f and g are both differentiable functions. If h = f g, then h'(2) is: ___________________

Given the function: y=sin(4x)+e^-3x and dx/dt = 3 when x=0. Then dy/dt = ________________ when x=0.

Let f(x) = ln (√x). The value of c in the interval (1,e) for which f(x) satisfies the Mean Value Theorem (i.e f'(c)= f(e)-f(1) / e-1 ) is: _________________________

Suppose f(x) is a piecewise function: f(x) = 3x^2 -11x-4, if x ≤ 4 and f(x) = kx^2-2x-1, if x >4. Then the value of k that makes f(x) continuous at x=4 is: ______________________

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milcah answered 1 year ago

In this question we study the recursively defined functions f, g and h given by the...

In this question we study the recursively defined functions f, g and h given by the following defining equations f(0) = −1 base case 0, f(1) = 0 base case 1, and f(n) = n · f(n − 1) + f(n − 2)^2 recursive case for n ≥ 2. and g(0, m, r, k) = m base case 0, and g(n, m, r, k) = g(n − 1, r,(k + 2)r + m^2 , k + 1) recursive case for...

In this question we study the recursively defined functions f, g and h given by the...

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f is a twice differentiable function and that itssecond partial derivatives are continuous.Let h(t)...

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prove using the definition of derivative that if f(x) and g(x) is differentiable than (f'(x)g(x) -...

prove using the definition of derivative that if f(x) and g(x) is differentiable than (f'(x)g(x) - f(x)g'(x))/g^2(x)

For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the...

For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f left parenthesis x right parenthesis equals StartFraction 7 x plus 9 Over 9 x minus 7 EndFractionf(x)=7x+99x−7; g left parenthesis x right parenthesis equals StartFraction 9 x Over 9 x minus 7 EndFractiong(x)=9x9x−7(a) Find (fplus+g)(x). (fplus+g)(x)equals=nothing (Simplify your answer.)What is the domain of fplus+g? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.The...

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f(x) and g(x) are both functions with Domains and Codomains all positive Reals. f(x) = 2x2 and g(x) = 4x - 1. If f(g(x) = 8, what is x? a 2 b 1/2 c 3/4 d None of the above ____________________________ If f(x) = 7x + 3 and g(x) = 4 - x3, then what is g(f(-2))? a 87 b 1335 c 12 d -13 ___________________________________ Let R be the relation from A to B, where A = {1,2,3} and...

How is f(x) =|x-1| differentiable at x=2?

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If f and g are both differentiable functions. If h = f g, then h'(2) is: ___________________

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