FamousBrainy5 From: US Posts: 16 Votes: 32 |
Can anyone explain me how to find derivative of 8 ^ (sin (8y) (or similar equation where sin x is as power of some number) thanks in advance |

MisterRoger1 From: US Posts: 4 Votes: 8 |
D/dy[a^u] = a^u*ln(a)*du/dy. Here, u = sin(8y), so du/dy = 8cos(8y). a = 8, so d/dy[8^sin(8y))] = 8^(sin(8y))*ln(8)*8cos(8y), or 8ln(8)*8^(sin(8y))*cos(8y). |

LondonGuy From: US Posts: 25 Votes: 50 |
Let z = f(y) = 8^[sin(8y)] first take the natural logarithm log z = log [8^{sin(8y)}] = sin(8y) log 8 now you can differentiate with respect to y d log z / dy = log 8 d sin(8y) / dy now apply the chain rune on both sides: or, 1/z dz/dy = log 8 d sin (8y) / d(8y) * d(8y)/dy or, 1/z dz/dy = log 8 cos(8y) * 8 or, dz/dy = 8z log 8 cos(8y) now you can plug in the value of z from above dz/dy = 8 * 8^[sin(8y)] log 8 cos(8y) = 8^[sin(8y) + 1] log 8 cos(8y) |

FrenchSam From: US Posts: 9 Votes: 27 |
Let u = 8^[ sin(8y) ] log u = sin(8y) log 8 (1/u) ( du/dy ) = 8 cos (8y) log 8 du/dy = 8 u cos (8y) log 8 du/dy = ( 8 ) 8^[ sin(8y) ] cos (8y) log 8 |

Anonymous From: - Posts: - Votes: - |
8^[sin(8y)] = e^[ln8 sin(8y)]it is good the anser is 8 |

Anonymous From: - Posts: - Votes: - |
Iam empressive |

Anonymous From: - Posts: - Votes: - |
8^[sin(8y)] = e^[ln8 sin(8y)]it is good the anser is 8 |

- Find F '(x) For Each Of Thefollowing... ,
- X = E2t , Y = T +1a) Eliminate The Parameter To... ,
- ACCELERATION amp; NEWTON'S LAW A BODY MASS 2... ,
- If A Snowball Melts So That Its Surface Area... ,
- In Order Sketch The Graph We Need To Find The... ,
- When Taking The Particular Solution Of 2y" + 3y'... ,
- Find Two Numbers Whose Difference Is 100 And... ,
- I'm Given The Equation F(x,y) = -4x3 + 4xy - 2y2... ,
- Determine Whether The Given Sequence Is... ,
- Determine Whether The Given Sequence Is... ,
- I Would Just Like To Have The Problemed Solved To... ,
- R = F(#952;)= 1+2Cos3#952;r = F(#952;)= 2+Cos... ,
- T(dy/dt)+2y=sint ,
- For R(u,v)=2cos U I + v J+ 2sin U K, Find The... ,
- Find A Vector Valued Function Whose Graph Is The... ,
- I NEED HELP WITH THIS GEOMETRY QUESTION!!!!!? ,
- Do you memorize formulas for math? ,
- How to find constant k for a continuous function? ,
- How to find constant k for a continuous function? ,
- How to find constant k for continuous function? ,
- Find approximations to two decimal places for the coordinates of the point (x,y)? ,
- How to make the TI-83 "Solver" faster? ,
- What kind of math class does a high school student usually take every year? ,
- Math question help please!! please help!!? ,
- Integral question! Sqrt(6x - x^2)? ,

Copyright © 2018 YouGotMath.com | All Rights Reserved | Terms of Service