Question

Consider the function f(x) whose second derivative is f′′(x)=6x+10sin(x). If f(0)=2 and f′(0)=4, what is f(x)?

Answer #1

53) Consider the function f(x) whose second derivative is
f''(x)=7x+5sin(x). If f(0)=2 and f'(0)=4, what is f(3)f?

Consider the function f(x) whose second derivative is
f''(x)=2x+3sin(x). If f(0)=3 and f'(0)=4, what is f(5)

1. Consider the function f(x) whose second derivative is
f″(x)=10x+2sin(x). If f(0)=2 and f′(0)=3, what is f(x)?

Consider the function f(x) whose second derivative is
f''(x)=2x+5sin(x). If f(0)=3 and f'(0)=2, what is f(5)?

Consider the function f ( x ) f ( x ) whose second derivative
is f ‘ ‘ ( x ) = 10 x + 7 sin ( x ) f ′ ′ ( x ) = 10 x + 7 sin ( x
) . If f ( 0 ) = 4 f ( 0 ) = 4 and f ‘ ( 0 ) = 3 f ′ ( 0 ) = 3 ,
what is f ( 2...

1)Consider the function f(x)f(x) whose second derivative is
f″(x)=9x+8sin(x). If f(0)=4 and f′(0)=2, what is f(5)?
2) Consider the function f(x)=(7/x^3)−(2/x^5).
Let F(x) be the antiderivative of f(x) with F(1)=0.
3)Given that the graph of f(x) passes through the point (5,4)
and that the slope of its tangent line at (x,f(x)) is 3x+3, what
is f(2)?
Then F(2) equals

Find the derivative of the function.
(a) f(x) = ln (x) + 6x^(2) – 5
(b) f(x) = ln (x + 1)
(c) f(x) = 5 ln x
(d) f(x) = ln(x^(3) – 5x^(2) – 2x + 5)
(e) 2lnx / x
(f) x^(2) ln x

Consider the function f(x)=6x^2−4x+11, on the interval
, 0≤x≤10.
The absolute maximum of f(x) on the given interval is at x =
The absolute minimum of f(x) on the given interval is at x =

consider the function y = 6x^2 /x+2
a) determine the vertical and horizontal
asymptotes.
b) complete the first and second derivative test?
C? Draw the the graph?

1. The derivative of y=e−6x+sin3xy=e−6x+sin3x is
________
2. The derivative of y=e512x+sec18xy=e512x+sec18x is
________
3. The derivative of y=x4sin8x+8xcos20xy=x4sin8x+8xcos20x is
_____
4. Find the average rate of change of the function
f(x)=x2−2f(x)=x2−2 over the interval [−2,3]
5. Find the derivative of the function y=37x3−23xy=37x3−23x when
x=8x=8.
6. Find the derivative of the function y=6x+78x+2y=6x+78x+2 at the
point (2,3)(2,3).
7. Find the derivative of the function y=4x+59x+

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