15 Answered Questions for the topic Product rule

Product Rule Calculus Derivative

10/20/21

HELP WITH PRODUCT RULE: Suppose that u and v are differentiable at x = 2
Suppose that u and v are differentiable at x = 2 and that u(2)=4, v(2)=-9, u'(2)=5, and v'(2)=3a. Find d/dx(6uv) at x=2b. Find d/dx(u/v) at x=2
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Product Rule Calculus Derivative

06/22/21

Differentiate (v^3+5v^2)(2v^7-6v^5) with respect to v.
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10/23/19

Derivatives and the Product Rule
y=x^3 ln x + (e^2x +cos^2 x)^4
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09/26/19

Compute f'(x) in three different ways
f(x)=(2x^2-5)^21.) multiplying out and then differentiating2.) Using the product rule3.) Using the chain ruleShow that the results coincide
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Product Rule Calculus Derivative

09/24/19

Use product rule to calculate derivative
h(s)=(s^-1/2+2s)(7s-s^-1)
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09/23/19

Calculate the Derivative in Two Ways
First use the Product or Quotient Rule. Then rewrite the function algebraically and directly calculate the derivative.h(t)= (t^2-1)/(t-1)
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Product Rule Math Differentiation

07/14/18

Differentiation
y= -x5(1 - x)   I have to use the product rule to answer this question.    The answer is 6x5 - 5x4   Can someone explain this to me and show how to solve it?   Thank you so much!
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Product Rule

01/17/18

Product Rule
Have been learning about product rule and stuck on this question:   The displacement, y(m), of a body in damped oscillation is y = 2e-tsin3t   Use the product rule to find an equation for... more
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11/10/17

f(x) = 3√ x · sin x use the definition of derivative to show f(x) is differentiable at x=0
this question had several parts  1)Why can't we use the product rule to compute f'(0)    My initial thought was that you cannot use the product rule t because sinx and 3√ x both equal 0 at... more
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04/03/17

Ben named his two dogs Changeup and Slider. If Changeup is 4 years older than Slider and the product of their ages is 21, how old is Slider?
Please help me!!
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10/31/16

I need help finding the derivative for this problem using the product rule
f(x)=(4x-4)((5x^3)-(x^2)+1)
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Product Rule

10/16/16

Derivative of h(x)=sqr(x) * (x^3+2x^2)..product rule
Hi, I keep getting wrong because Im not sure how to solve when it involves a radical.    h(x)=(√x)* (x3+2x2)   The only radical is the x and its being multiplied by the bracket. 
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01/16/16

Using chain rule and product/quotient rule, find derivative of sin(3x^2)/x when x=(squareroot of pi)
sin(3x^2)x^-1   this is how far I got.  when do I sub in √pi ? what do I do next?
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Product Rule The Product Rule

10/04/14

using product rule let y=uv
a)  (x2+1)3(x3+1)2    b)   (x2-1)√(1+x)      c)   (√1/x-x2)(x2+x)7
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Product Rule Product

11/18/13

what is the product. ( x-9)(x+8)
Find  the product. (X-9)(x+8)
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