V3(x+Sin(x))' Find. a (x) nd f(x) So that y=(-09X)) f(x) = g(x)= (fogy"= MA %3D gla) %31

Q: 3x+sinx-3 tan x -) Given g(x) = ln- calculate g'(x). %3D 3x4-Vx

A: Given gx=lnx3+sinx-3tanx3x4-x We know that lnab=lna-lnb. Therefore, using this formula we can write…

Q: Calculate G' (-4) to 3 significant figures where G(x) = (-4x – 2)'°(-2x² + 1x + 4) 2

A: Calculate G'(-4) to 3: significant figures  G(x)= (-4x-2)10(-2x2+1x+4)12

Q: 1.2 s Find first derivative for the following functions. dx (a) y = 5+ 6x + 4x3 (b) y = In(2x) +x*…

A: Note:-Since you have asked multiple questions, we will solve the first question with three sub-parts…

Q: If f(x) = sin(x³), find f'(x). 3x² cos(x³) Find f'(2). ४ OF

A:

Q: (a) y = 2** (b) y = log,(x* + 2x – 3)

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: (g) y = (x +3)10(x +1)(3–5r). (h) y = (cos x)".

A: To find the derivatve of each of the following functions.

Q: f(x) = [In (x² + 2x + 1)]ª

A:

Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

A:

Q: fx- sin(2x ) dx

A: Given that  The integral is xsin(2x^2) To evaluate the integral

Q: (d6/dx6)(x2 sin x)

A: Given function is fx=x2sinx

Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

A:

Q: - ((x3 + x)sech(In x)) = dx EX)-

A: To find  ddx(x3+x)(sech(ln x) We use product rule  d(uv)=udv+vdu Let  u=x3+x,     v=sech(ln…

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: (a) Let h(x) = f(x)/g(x). Find h'(1). (b) Let h(x) = g(f(x)). Find h'(-1).

A: Definition used -           Quotient rule of derivative -…

Q: y = In (3²×) + sec (Inx²) + tan¬1(In5x)

A:

Q: H(x) = sin(esinh~1 *) %3D

A:

Q: Let f (x) = (10x + 6)(x – tan x). Then %3D - f'(x) =

A:

Q: 3. f(x)=3 sin²x-4cos 9x

A: Given query is to find the the derivative of the expression.

Q: Step 2: Step 3: Sten 4:

A:

Q: f(x)=-7x(sin(x)+cos(x)) f’(pi/4)=?

A: