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432 Answered Questions for the topic Derivative

Derivative Calculus

09/22/20

Suppose g(x)=f(3+7(x-5)) and f’(3)=4. Find g’(5)

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Derivative Calculus

09/22/20

Suppose F(x)=f(x)g(2x). If f(1)=3, f’(1)=3, g(2)=2, g’(2)=5. Find F’(1). Find the derivative of g(2x) at x=1

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Derivative Calculus

09/22/20

F(x)=g(h(x)), g(2)=3, g’(2)=3, h(0)=2, h’(0)=5, Find F’(0)

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Derivative Calculus

09/22/20

Find an equation of the tangent line to the curve at a give point: -2x^3 - 5x (-1,3)

I know you can use (y-y1) = m(x-x1) to solve but I’m not sure how to apply it exactly.

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Derivative

09/21/20

Find the equation

Find the equation of the line tangent to y= (1+x)/ (1+e^x) at (0, 1/2) using point-slope form.

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Derivative Trigonometry Differential Equations Maths

09/18/20

While proving the continuity of function f(x)=sin(x) or f(x)=cos(x) why do we put sin(c+h) or cos(c+h) in place of x ? Please explain

Example: Lim f(x) = Lim [sin x] = Lim [sin (c+h)] X tends to 0

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Derivative Math Differential Equations

09/15/20

Derivative of the function

, y'=?

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Derivative Integrals Calculus Bc

09/14/20

Calculus BC HELP ASAP!

Find .

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Derivative Math Calculus Integral Calculus

09/11/20

Find the rate of revenue change with respect to time.

isMobile phone manufacture will be releasing a new version of their smart phone model. Theydetermined that t months after the new phone introduced to the market;The manufacturing facility can... more

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Derivative Calculus Differential Equations

09/03/20

Evaluate the derivative of the function f(x) = w1 * x^3 + w2 * x - 1 on x

Where w1 is the first coefficient and w2 is the second coefficientX is the point on which to evaluate the derivative I am looking for the value of the derivative on point x

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Derivative Math Calculus Integral Calculus

08/24/20

Can you help me to solve that problem?

w = u2÷v such that u(t) and v(t) are differentiable functions.if u(1) = 3, v(1)= 2, u'(1) = 5 , v'(1)=-4 when t=1 dw÷dt=?

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Derivative Calculus

08/16/20

find the ∂z/∂x and ∂z/∂y derivatives for the function: x^2sin(2y - 5z) = 1 + ycos(6zx)

maybe implicit derivative? im not sure about that can u guys help me how to solve that problem?

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Derivative Calculus Differential Equations

08/03/20

On my test, there was a question that was ''find the average velocity for the time interval [0,3], given the displacement function of a particle moving in a straight line relative to a point O is... more

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Derivative Calculus Functions

07/31/20

For the demand function q=D(p)=500/(p+6)^5, find the following.

For the demand function q=D(p)=500/(p+6)^5, find the following,a) The equation for elasticity. (This is where I need the most help. Every step is extremely helpful.)b) The elasticity at p=4,... more

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Derivative Math Calculus Precalculus

07/26/20

Need help with two questions related to derivatives!

1.An arrow is shot upward from the edge of a cliff such that its height h (in m) above the ground at time t (where t >= 0) is given by h = -4.9t^2 + 40t + 45 , where t is the time in seconds.... more

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Derivative Calculus

07/20/20

Find the values of a and b so f has a derivative at x=2, namely that f’(2) exists.

f(x)= {3x2-1 if x≤2 {ax+b if x>2

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Derivative Math Calculus

07/19/20

(Clarified) Please help me. How would you solve this?

If f''(14/3) = 0,What would 'b' be in terms of c for f''(x) = (-1.5b^(2))*(sin(bx+bc))

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Derivative Math Calculus Differential Equations

07/16/20

Order linear nonhomogeneous ODEs

Solving nth order linear nonhomogeneous ODEs the method of undetermined coefficients what can be used to find a particular solution of the ODE(s)?A.) y''-y=tanh(x)B.)y''-y=cot xC.)... more

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Derivative Math Calculus Integral Calculus

07/01/20

Compute ∫ ((a cos(x))/(b sin(x) +c))dx. in terms of a,b, and c.

Compute ∫ ((a cos(x))/(b sin(x) +c))dx. in terms of a,b, and c. You may assume "b" does not equal zero. Use "+C" as a constant to indicate a family of solutions differing by a constant. ∫... more

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Derivative Math Calculus Integral Calculus

07/01/20

Use part I of the Fundamental Theorem of Calculus to find the derivative of:

Use part I of the Fundamental Theorem of Calculus to find the derivative of: h(x) = ∫ (top of the integral symbol says "sin(x)" and bottom of integral symbol says "-3") then followed by the... more

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Derivative Math Calculus

06/22/20

How to get a derivative of a function without using the quotient, power, or chain rule?

How to compute a derivative of G(x)= (x^2 + 2x -1) / (sqrt(x))?From what I'm understanding, I have to break it up so it looks likex^2/sqrt(x) + 2x/sqrt(x) - 1/sqrt(x)And after simplifying it would... more

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Derivative Math Calculus

06/18/20

Calculus - Implicit differentiation

How would I solve this question to find dy/dx? Would I try to put each x and y variable on separate sides of the equation then product rule to find dy/dx? Any tips would be helpful. Thanks!y3 + xy... more

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