3x 2. Determine the derivative of f(x) = (1 using the product rule and chain rule (cannot use quotient rule here) and find the EQUATION of the tangent to f(x) at x=0 in the form y=mx+b. [A/8]

Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

A:

Q: 8 Find the derivative of: 2/x + x3 Type your answer without fractional or negative exponents. Use…

A:

Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: Determine the derivative of f(x) =2x/x2+1 using the quotient rule and find the equation of the…

A:

Q: Find the derivative of the function. 7x s) - du f(u) du = f(u) du + = Hint: Jsx u2 + 1 g'(x) =

A:

Q: a) Prove that (arctan r 1+2 b) Using part(a), find the derivative of f (x)= arctan (208 )

A: Properties of derivative  f(g(x))=f'(g(x)) g'(x)ddxcosx=-sinxddxax=axloga

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: Compute the derivatives: d/dx [ f (x)g (x)]

A: Derivative of function of type uv is given by, duvdx=v.dudx+u.dvdx

Q: Q4: A. . Find the derivative of the function at Po in direction of A. g(x, y) = x - + V3sec-1 (2xy),…

A:

Q: Evaluate the derivative of the function r(t)=⟨sin2t,cost,2sect⟩ at t=π6.

A: To find the derivative of the given function.

Q: Find the derivative of f (z) = (2²-32-9)" by following these steps. You may assumey-(e) Identify the…

A: The given function is

Q: 3. f(г, у) 3D In(х +y)

A: The differentiation of  ln x = 1x

Q: 3. y = Varcsin(1-x²)

A:

Q: Evaluate the derivative of y = (2x – 1)° (x – 2)° at (1, -1). Use theorems of differentiation.

A:

Q: 4.Find derivative y=(-2r+2)" cos(r? -1)

A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…