HiHtar is THe secoyd derivative OF Y

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: compute the derivative. g(x) = tanh−1(ex )

A: We have to compute the derivative of the function: gx=tanh-1 ex We know the formula of derivatives,…

Q: Find the equation of the tangent line to the graph of y at (2, 금). Use the limit process in finding…

A:

Q: Find the derivative of the function. f (x) = cube root of ( 1+ tant )

A:

Q: Find the derivative of function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

Q: Define the derivative of f(x) at x =a

A: For a function f(x), the derivative is defined as: Now at x=a, the derivative is defined as:

Q: What is the derivative of f (x) = cosh(x) + sinh(x)?

A: Given that f(x)=cosh(x)+sinh(x) find the derivative of f(x)

Q: find the derivative of f (x) at the designated value of x. f (x) = 1x at x = 1/16

A: Given: fx=1x To find the derivative  Differentiate the given function with respect to x we get,…

Q: Evaluate the derivative at x = 1 for y = In ()

A: For a function f its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: What is the derivative of f(x) = - 3 with respect to r? %3D

A: Given: The function f(x)=-3x3

Q: Find the derivative of f(x)=arctan(1/x) and simplify

A:

Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: find the derivative of y with respect to the appropriatevariable. y = sinh-1 √x

A: Find the derivative of y with respect to the appropriate variable.

Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

A:

Q: p(x) = In(x)^/x

A:

Q: Find the derivative of y with respect to x. y = tan 1 (In 4x) 1+ (In 4x)2 xV1+ (In 4x)² x(1 + (In…

A: We will find the derivative of y with respect to x as following.

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: find the derivative of y with respect to the appropriatevariable. = cosh-1 2√x + 1

A: Given: y=cosh-12x+1Here ,we havecoshy=2x+1Taking the derivatives on both…

Q: Find the derivative of y = In (tanh x).

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate.

A: On simplification, we get

Q: compute the derivative g(x) = tanh−1(ex )

A:

Q: Find the derivative of r = In (cos" x).

A:

Q: What is the derivative of f(x)=−cos(x)+4sin(x) at the point x=−π/2?

A: We will find the derivative as following.

Q: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

A:

Q: Compute the derivative of f (x) = (x – 3r) cos(r). -

A: You will find the derivative of the given function using the product rule of differentiation which…

Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

A:

Q: Find the derivative of y with respect to x. -1 y = tan (In(2x))

A:

Q: what the derivative fxy er hin ction Sas)=x'tan)

A:

Q: (a) h(x) = tan(r'sinx

A:

Q: Find the derivative of flx) = x 1x \ - Does plo) exist

A:

Q: Find the derivative using implicit deffirentiation of x^2 - 2xy +y^2 - 6x + 2y = 0

A: Given,          The derivative using implicit deffirentiation of x2-2xy+y2-6x+2y=0

Q: What is the derivative of f(x)=2sin(x) at the point x=−π/2?

A: To find the derivative of fx=2 sinx, at the point x=-π2.

Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: What is the derivative of y = ekx?

A:

Q: Find the derivative of f(x) = x cos x using the product rule.

A: The given function is fx=xcosx.

Q: 1 m' (x) = x In(x)

A: Given: m'x=1xlnx for finding anti-derivative of given expression, we substitute lnx=u…

Q: 5. f(x)%3D + cos X

A:

Q: What is the Derivative of: y = extan x

A: Given: y=ex tan x To Find: dydx=?

Q: 1 erivative of x²+2

A:

Q: The derivative of y = cos²x is %3D

A: Given -                  y= cos2 x . We have to find the derivative of y.

Q: Find the derivative. Simplify where possible. y  = x tanh-1 x   + In √ (1- x2)

A: We have given that, y=xtanh-1x+ln1-x2 We have to find the Derivative of this function i.e. y' As we…

Q: Y3D7

A: One of the method to solve this Question by using logarithmic differentiation

Q: Find the derivative off with respect to x of f(x) = In x⁹. The derivative off with respect to x of…

A:

Q: Use defination of derivative to find derivative of R(z) = 5/z

A: From defination of derivative, derivative is ratio of difference in output and difference between…

Q: find the derivative of y with respect to the givenindependent variable. y = 3-x

A: