 # Calculus Problems And Solutions

## Transcribed Text

1. If g(u) /8u+9 Then g' (u) -? 2. Find the derivative with respect to x of f(x) - V9x+3. f'(x) -7 3. Suppose F(x) g(h(x)) If g(2) 3,g'(2) - 1,h(0) - 2,andh'(0) - 8 find F'(0). F'(0) -? 4. Suppose F(x) f(x)g(2x) If f(1) - 3,f'(1) - 2, g(2) - 2,andg'(2) - 5,find F'(1). F'(1) -? NOTE: This problem is a bit subtle. First, find the derivative of g(2x) at x - 1. Derivative of g(2x) at - is: ? 5. Suppose g(x) - f(3 + 8(x - 5)) and f'(3) - 4. Find (5). g' (5) -7 6. Suppose u(t) - w(1² + S)and w' (6) - 7 Find (1). u' (1) -7 7. Suppose h(x) - (f(x) and the equation of the tangent line to f(x) at x - 1 is y 4 +2(x-1) Find k'(1). h'(1) -7 8. Suppose F(G(x)) - x² and G'(1) - 4. Find F'(G(1)). F'(G(1)) -

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