Section 2.5 Homework Answer

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Section 2.5 Homework

 

1.  Find the derivative of the function.

F(x)=(5x6+8x3)4 F(x) = 

 

2. Find the derivative of the function.

f(x) = 5x+4

f'(x) =

 

3. Find the derivative of the function.

f(θ) = cos(θ2)

f(θ)=

 

4.  Find the derivative of the function.

f(t)=t sin(πt)

f'(t) =

 

 

5. Find the derivative of the function.

h(t)=(t+5)2/3(2t21)3

h'(t)=

 

6. Find the derivative of the function.

y=xx+5

 

y’=

 

7. Find the derivative of the function.

f(t)=tt2+3

f'(t) =

 

8. Find the derivative of the function.

y=x sin 8x

y'(x) =

 

9.  Find all points on the graph of the function 

f(x)=2 sin(x) + sin2(x)

  at which the tangent line is horizontal. (Use n as your arbitrary integer.)

 

10.  Find an equation of the tangent line to the curve at the given point.

y=sin(sin(x)), (3π,0)

 

 

 

 

 

 

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Section 2.5 Homework Answers

1.  Find the derivative of the function.

This question is taken from Math 261 – Calculus I » Spring 2022 » Homeworks