Find h(x) if h'(x): h(x) = = 9x (3-x²)² and h(1) = -3.

Q: What happens to the values of h(x)=(x2 +2x-15)/(x2 -9) as x- > 3?

A: Our objective is to find the limit

Q: What is h′(b) when b=4 and h(x)=(6x)^4x?

A:

Q: Find bn if the function f(x)=x^2.

A: bn-fx=x2 Fourier series of                     fx=x2   is                     fx=902+∑n=1∞an…

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: 4

A:

Q: if h(x)=x2-6, find h-1(x)

A: To find the inverse of the function, use the below steps. Replace h(x) by y, so we get y = x2 - 6

Q: aluate the limit lim x→1 ƒ(x)-ƒ(1) x-1 using the limit toolkit developed in class

A:

Q: f(x) = /2x - 7 / when  x = 3.8

A: Given that, f(x)=2x-7   Find f(x) when x=3.8

Q: Let g(x) = x^2 - 3 and h(x) = 2x + 5. Find h(g(x)).

A: topic - composite functions

Q: hᴏf(x)=

A: Solve the following

Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: Differentiate f (x)  = 10e(-x - 2)/5

A: Given,           fx=10e-x-25

Q: 192) Find la(21)=?

A: Note the logarithm property : logaxy=logax+logay where x,y>0 and a>0 ,a≠0 . logaan=n ; where…

Q: x) = (1/3)x - 6

A:

Q: Find y (x +5x)*(x + sec x)5

A: Differentation by two products

Q: If f(x)- 12+ 27, find f'(9).

A:

Q: If f(x) = x² + 8x, find f(d). %3D f(d) = ||

A: F(x) represents  function varies with x

Q: Find f"(x) for the equation f(x)=x6(x2-1)3

A: