(g) = In(){ f(In(1)sin (3x) dx In (x) = x 4 cos (3) (1">)in (~ = In (x) (1 sin" (2 X (h) f(x) = Quotient rule 1+3 cos(2x) x+ex f'(x) = x+e² [1+ 3 cos (2x)]-(1+3 e* = (x+e^)² 9. Consider y = e. Find the equation of the ta the graph of y=e" and the tangent line wh

Q: V2 – 3x4 1 x² -4

A: We have to find the derivative

Q: Find f(2x+4) for f(x)=1-x^2

A:

Q: f(x) = xlog4(22x)

A: To simplify the given logarithmic function.

Q: Let f(x) = x + 2. Find equations for the following. For each part, identify what is the input and…

A:

Q: solve -  f(x+k) = 1 – 1/(X + 2)²

A: Given that fx+k=1-1x+22Solve it

Q: foex-2X+1, find f (xth)-f(x)

A: The function is given by fx = x-2x2+1 To evaluate: The expression of fx+h-fxh

Q: f (x) = x2 - 7x + 10/x - 5, x = 5

A: We have the given function as fx=x2-7x+10x-5 On solving further by factorising the numerator part,…

Q: (10x-19) (3r + 2) (5x-3)

A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

Q: Find f(0), f(-3), f(2x+3) for the function f(x)= -2x^2+x-1.

A:

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Find f-1(x) f(x)=x2ln9x

A:

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

A: Given,           fx=10e-x-25

Q: Find and simplify  f(a+h)-f(a)/h , (h does not equal 0) for the following function…

A:

Q: If f(x)=1/3x+13 and g(x)=3x^2+6x+12, which expression represents f(g(x))?

A: Given that  f(x) = 1/3x + 13   and g(x) = 3x2 + 6x + 12 we need to find the value of f(g(x)). Now,…

Q: If the point (-1/2, 1) is on the graph of f(x)=a(x-3)^2+50, what is the value of a?

A:

Q: Evaluate f(2), given f(x)=3x^3 - 4x + 1

A:

Q: If f(x) = 3 + 6x – 2x2, find f'(4).

A:

Q: Evaluate f(-3) for (x)=x^3+3x+17

A:

Q: Given f(x)=3x+8, evaluate f(x^2)

A: