Calculus

Evaluate. ∈ t frac 8 square root of [7]x6dx _ ∈ t frac 8 square root of [7]x0dx=square

Evaluate the following integral using trigonometric substitution. ∈ tlimits _0frac 5 square root of 52frac x2 square root of 25-x2dx

Find all the critical points of fx=x2-x2/5. 1. x=2,- 10/7 2. x=2, 10/7 3. x= 10/7 4. x=2 5. x=- 10/7 6. x=-2,- 10/7 7. x=-2, 10/7 8. x=-2 _

Given! y=4x2-9x+2 , find dy/dx , 2. Find y' , if y=120+8x=2x2,, 3.If y=2x 3/2 +4x 1/2 =5 , find dy/dx , 4. Use the produet rule to find the first derivative, given y=x+12x-3, 5. Find f'x given fx=frac x4+5x2x2. 6. Find the first derivative of y=x2+3x-1x3-8x, 7. Use the quotient rule to find the first derivative of y=frac x28x+1, 8. Find f'x if fx=frac x2+...

· 1 POINT The graph of fx=-2x3+5x+3 is shown below. Use the tools to graph the line tangent to fx at x=underline rovide your answer below: 10

Using implicit differentiation, find dy/dx square root of xy=2+yz2

∈ t _3 ∈ fty frac dxx3 is 1/3 ln3 3 1 Divergent None of these options

If y=frac cos 2x1+sin x , then dy/dx = A -sin x B 2sin x C cos x D -2sin x E -cos x

Find u'3 if ux=f4x-8 A 40 B -13 C -8 D 36 E 70

Find the derivative of the following function. fx= 5x-9/x-9 f'x=square