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Derivatives Calculus

10/13/15

Find the derivative of f when f(x) = 6ln(x+ sqr(x -7)) , (x > 3)

Answer choices are: 1. f'(x) = 6 / (√x^2 − 7)2. f'(x) = − 12 / (√x^2−7 )3. f'(x) = −3 / (√x^2−7)4. f′(x) = 3 / (√x^2−7)5. f'(x) = −6 / (√x^2−7)6. f′(x) = 12 / (√x^2-7) not sure what to do with... more

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Derivatives Math Calculus

10/12/15

Find the derivative of y = xe ^ -kx

I know I need to use the chain rule but I never get the right answer when I try on this problem

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Derivatives Calculus Velocity Differential Calculus

09/29/15

The displacement (in meters) of a particle moving in a straight line is given by the equation of motion s = 1/(t^2), where t is measured in seconds.

Find the velocity of the particle at t = a, t = 1, t = 2, and t = 3

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Derivatives Calculus Limits Velocity

09/21/15

If a rock is thrown into the air on small planet with a velocity of 30 m/s, its height (in meters) after t seconds is given by y=30t-4.9t^2.

If a rock is thrown into the air on small planet with a velocity of 30 m/s, its height (in meters) after t seconds is given by y=30t-4.9t^2. Find the velocity of the rock when t=4. *You should... more

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Derivatives Slope Intercept Form Slope Equation Slope Of Tangent Line

09/21/15

The slope of the tangent line to the curve y=3 vx

The slope of the tangent line to the curve y=3 √x at the point (8, 8.4853) is m=? The equation of the tangent line can be written in the form y = mx+b where m=? and b=?

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Derivatives Calculus Pre Calculus Area

08/31/15

integration help

using integration, find the area of each of the enclosed regions I've completed one correctly, but have no clue how to solve the other two can someone help? or set up the other two for... more

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Derivatives Calculus Precalculus Integrals

08/31/15

Evaluate each of the following integrals.

2 1) ∫ 4x dx 3 2) ∫ (x2+3x)dx 4 3) ∫ (x2-4x+5)dx

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Derivatives Calculus Pre Calculus Integration

08/31/15

find the derivative of each of the following

1) f(x)=6x-11/8x+1 2) f(x)=(5x-2)(2x+3)/x-4 3) f(x))=√¯8-5x

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Derivatives Calculus Math Help Pre Calculus

08/31/15

INTEGRATION

Using integration find the area of each of the enclosed regions how do I solve these?????? 1) x-axis and f(x)=2x-x^2 2) f(x)=x^2 and g(x)=x 3) f(x)=x^3-3x and g(x)=x

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Derivatives Math Calculus Trigonometry

08/27/15

find the derivative of each of the following

1)f(x)=(3x2+5)(2x-1) 2) f(x)=6x-11/8x+1 3) f(x)=(5x-2)(2x+3)/x-4 4)f(x)=(8x+3)2 5) f(x)=√¯8-5x 6) f(x)-6x(7x-1)2 7) f(x)=-6ex+1 8) f(x) =1n(5x2-3x) 9)f(x)=5x2/ex

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Derivatives Math Calculus Integrals

08/23/15

True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please

If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]

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Derivatives Calculus Calculating Average Rates Of Change Related Rates

07/07/15

What is The actual speed (along the road) of the red car for the measurement feet per second?

A police car is located 30 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the police... more

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Derivatives Calculus Related Rates Calculus 3

07/07/15

What is The rate of change of the area enclosed between the circle and the square

A circle is inside a square.The radius of the circle is decreasing at a rate of 3 meters per minute and the sides of the square are increasing at a rate of 4 meters per minute.When the radius is 5... more

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Derivatives Calculus

07/02/15

Derivative of A=620(1.628)^t

I'm uncertain about how to find the derivative of A=620(1.628)^t. I'm quite certain that it has something to do with making (1.628)^t into (1.628)^t * ln(t) but I'm unsure if I have to do... more

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Derivatives Math Calculus Points And Equations

06/04/15

Find the point on the line

Find the point on the line 5x+3y+1=0 which is closest to the point (–1,3). x= ? y=?

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Derivatives

05/29/15

Finding tangent lines of a parabola

Show that there are two tangent lines to the parabola y=x2 that pass through the point P(0,-4). Find the coordinates of the points were this tangent lines intersect the parabola. Source:... more

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Derivatives Calculus Slope Mean Value Theorem

05/27/15

MEAN VALUE THEOREM AND AVERAGE SLOPE

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open... more

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Derivatives Slope Math Help Mean Value Theorem

05/27/15

Consider the function f(x)=8sqrt(x)+7

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open... more

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Derivatives Limits Tangents And Derivatives Derivative Proof

05/07/15

Show that when r changes by ?r; the change in the acceleration due to gravity, g; is given by ?g ˜ -2g ( ?r / r)

The acceleration due to gravity, g; is given byg = GM / r2 ; where M is the mass of the earth, r is the distance from the center of the earth,and G is the universal gravitational constant. Show... more

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Derivatives Limits Continuity And Limits Derivative

05/06/15

show the derivatives of the quotient

The de?finitions of derivative of two functions f and g are given by:f' (x) = lim f(x + Δx) - f (x) / Δx , g'(x) = lim g(x + Δx) - g(x) / Δx x->0 ... more

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Derivatives Exponential Functions

04/30/15

NEED ANSWERED ASAP Derivatives of exponential functions

a rumour spreads in such a way that t hours after the rumour starts, the percent of people involved in passing it on is given by P(t)=100(e-t- e-4t). what is the highest percentage of people... more

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Derivatives Coordinates Exponential Functions

04/30/15