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1-) Use differentiation rule b-) Find...

1-) Use differentiation rule

b-) Find de the domain of f'

c-)Find an equation of the tangent line to the graph of f at P.

d-) Find the points on the graph a which the tangent line is horizontal.

f(x)=9x - 2

f(x) = Pi to power 2

2-)Find the first three derivatives.

If y= -4x + 7, find d^3y/dx^3

3-) If f differentiable on the given interval? Explain

f(x) = 1/x

4-) Find the derivative

g(x) = x^4 - 4 power root of x^3

h(x) =x ^ 2/3(3x^2 -2x + 5)

f(x) = 4x - 5/ 3x + 2

5-) Find the x coordinate of all points on the graph of y = x^3 + 2x^2 -4x + 5 at which the tangent line is

a-) horizontal

b-) parallel to the line 2y + 8y= 5

6-) Witch of Agnesi: y= a^3/a^2 + x^2 ; P (a, a/2)

7-) As a spherical balloon is being inflated, its radius r (in cm) after t minutes is given by r= 3* 3 power root of t for 0<_ t <_ 10. Find the rate of change for each of the following with respect to t at t=8:

a-) the radius r

b-) the volume V of the balloon

c-) the surface area S of the balloon

Please I need full explanation

b-) Find de the domain of f'

c-)Find an equation of the tangent line to the graph of f at P.

d-) Find the points on the graph a which the tangent line is horizontal.

f(x)=9x - 2

f(x) = Pi to power 2

2-)Find the first three derivatives.

If y= -4x + 7, find d^3y/dx^3

3-) If f differentiable on the given interval? Explain

f(x) = 1/x

4-) Find the derivative

g(x) = x^4 - 4 power root of x^3

h(x) =x ^ 2/3(3x^2 -2x + 5)

f(x) = 4x - 5/ 3x + 2

5-) Find the x coordinate of all points on the graph of y = x^3 + 2x^2 -4x + 5 at which the tangent line is

a-) horizontal

b-) parallel to the line 2y + 8y= 5

6-) Witch of Agnesi: y= a^3/a^2 + x^2 ; P (a, a/2)

7-) As a spherical balloon is being inflated, its radius r (in cm) after t minutes is given by r= 3* 3 power root of t for 0<_ t <_ 10. Find the rate of change for each of the following with respect to t at t=8:

a-) the radius r

b-) the volume V of the balloon

c-) the surface area S of the balloon

Please I need full explanation

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