SOLUTION: Q¬
Use the definition of the derivative to find f ′(x) if
f(x)=x^2+x
f(x)= 1/(x-1)
Q−
Find an equation of the tangent line to the graph of f(x)=(x^3+1)
Algebra.Com
Question 1005097: Q¬
Use the definition of the derivative to find f ′(x) if
f(x)=x^2+x
f(x)= 1/(x-1)
Q−
Find an equation of the tangent line to the graph of f(x)=(x^3+1)/(x^2+x+1)
at the point whose x-coordinate is 1.
Find the equation of the tangent line to the curve at the point (4,1).
Q−: differentiate the following function:
f(x)=(x^2+1/x^3 )(x^3-x^2+1)
f(x)= e^((x^3+2x))
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ x^2\ +\ x)
\ =\ \lim_{h\right 0}\ \frac{f(x\ +\ h)\ -\ f(x)}{h})
\ =\ \lim_{h\right 0}\ \frac{(x\ +\ h)^2\ +\ (x\ +\ h)\ -\ (x^2\ +\ x)}{h})
\ =\ \lim_{h\right 0}\ \frac{(x^2\ +\ 2xh\ + h^2)\ +\ (x\ +\ h)\ -\ (x^2\ +\ x)}{h})
\ =\ \lim_{h\right 0}\ \frac{2xh\ +\ h^2\ +\ h)}{h})
\ =\ \lim_{h\right 0}\ 2x\ +\ h\ +\ 1)
\ =\ 2x\ +\ 1)
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Use the definition of the derivative to find f ′(x) if
(a)f(x)=x^2+x
(b)f(x)= (answered by MathLover1)
Use the definition of the derivative to find f ′(x) if
f(x)=x^2+x
f(x)=... (answered by Alan3354)
Use the definition of the derivative to find f ′(x) if
f(x)=x^2+x
f(x)=... (answered by Alan3354)
Use the definition of the derivative to find f ′(x) if
f(x)=x^2+x
f(x)= 1/(x-1)
(answered by Alan3354)
Use the definition of the derivative to find f ′(x) if
f(x)=-4x^2+9x+2.
f(x)=... (answered by Fombitz)
Using Limits to Calculate a Derivative
Use the definition of the derivative to find f... (answered by jim_thompson5910)
Using Limits to Calculate a Derivative
Use the definition of the derivative to find... (answered by fractalier)
Using Limits to Calculate a Derivative
Use the definition of the derivative to find f... (answered by fractalier)
Using Limits to Calculate a Derivative
Use the definition of the derivative to find f... (answered by jim_thompson5910)