1- Find the extreme va lues of the funetion and where the IntervalS on wh'eh de cvnsing and inerunting . a - y = 32x +4 b-リェーX X2+1 リ=X(¥+2) 2/3 %3D d-y=x"(ツ e -

Q: (-1)^ dx n= (2n+1)!

A:

Q: Are the functions below power functions? If it is a power function, write it in the form y=kx^p and…

A: Given,          The function is in the form of y=kxp.

Q: 3х -5х+1 5. H(х) %3 x*- 4х H'(x)==2 -7х-2х+4 (x²-4x) %3D

A: Quotient Rule where u' = du/dx

Q: f(x) > 0 7+ 6+ 5+ Select one: O a. (-00, 3) O b. (3, 4) O c. (3,00) O d. [3, 4] 3+ -8 -7 -6 -5 -4 -3…

A: since from graph it clear that  f(x)>0 means f(x) is positive for the   interval  range…

Q: 1s the ordered pairs a tuncrion? {(3,4)(-3,4)(6,-2)(-2,3)(2,7)(5,4)} a function?

A: We have to check

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b > 0, n+ab=Θnb

Q: fg)(x)=  f(x)=3x−8 and g(x)=x2+16x+63 Use “U” to indicate the union of intervals.

A:

Q: Not sure why I got this answer wrong.

A:

Q: Let f(x) = 6x¹ + 2x³. Select all intervals where f(x) is INCREASING, 0 (-∞, ¹²¹) ☐ (0, ∞0) 0(¹,0)…

A:

Q: y = 2x/sqr(x^2 + 1) - find the deriviative using chain rule and explain each step clearly and show…

A:

Q: dx J x²–18x+97 O fIn (x² – 18x + 97) + C In (x² – 18x + 97) + C 0sin-l (부) + C х-9 O tan-' () + C…

A:

Q: differentiate f(x) = O O O O - 1 1 9x2+ 13x-5 18x + 13 (9x²+ 13x - 5) 3/2 1 (9x² + 13x - 5) 3/2 18x…

A:

Q: q(x) = x^2 -12x + 34 find the average change of q on the interval [3,5] & [5,7] how could this be…

A: qx=x2-12x+34 we have to find average change of qx on the interval 3,5 and 5,7

Q: the rational expression to lowest terms. Identify all numbers that mus (4t-8)/(t^(2)-4)

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.