В. f(x) = (sin ebx³ ). 3 |cot(26x) x4 -

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

Q: What is the derivative of f(x)= cos(e) ?

A: Given,

Q: Q8.) By using the definition of the derivative, find the equation of the tangent line to the graph…

A:

Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = 1/8 is approximated by the…

A:

Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

A:

Q: What is the derivative of loga x? Are there any restrictions on a?

A:

Q: Find the derivative with respect to the independent variable. f(x) = cos (- 23x) f'(x) =

A:

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: 5. By calculating a derivative, determine whether the following statement is true (or false): et et…

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Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

A:

Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: Y = (cot x)3x² 3r2

A:

Q: Find the derivative with respect to t. y= csc-1(et)

A: Given:

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: Find the derivative, if y = (log x)" +(sin x)™* -x %3D

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 the following function with respect to x x = sinh2y

A:

Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: find the derivative. y = ecos−1 x

A: Given: y=ecos-1(x)

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: Find the derivative of f (x) =arcosh (4x2 + 2x + 1).

A:

Q: Find the second derivative of y = cot 3x

A: To differentiate the function in the first derivative as y' ordydx  and the second derivative as y''…

Q: 3x g(x)=e* In(4x+1) (с)

A:

Q: What is the Derivative of the following function;  y = Arctan 2(x 3)

A: To find: The derivative of y=tan-1x32. Formula used: Chain rule of derivative: fgx'=f'gx·gx Power…

Q: Which of the following has a derivative of f (x) = 2x (arctanx + arccotx)?

A:

Q: r (4x2 – 3x + 5)* - 3.) c(x) = %3D sin x

A: solution:- find the derivative by using the quotient rule

Q: Use the definition to find the derivative of the function f(x) = Vx +1 and obtain the equation of…

A:

Q: f(x) = sin° (tan(5e2*))

A: We can find the derivative as below using chain rule.

Q: Calculate the derivative of the following function. = (x + 8) (x² - 1))° dy dx

A: By using the following equations we can find the derivative of the given function.

Q: Find the derivative of the following Function () y sin(x²) = x sin(y?)

A:

Q: Find the derivative of the function. Simplify wherepossible.

A: we have to find the derivative of the given function  y=xsin-1x+1-x2

Q: Use implicit differentiation to find the derivative, y', for the following. xcosy = 7x2 - 5y

A:

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

A:

Q: The derivative of xª at x = e is equal to .Soloot ono

A:

Q: Find the derivative: f(x) = cos 1 + e8x 1- e6x – ebz f'(x) =

A:

Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

A:

Q: f(x) = x*Inx

A: TO FIND 5th order derivative f(x) = x4 lnx FORMULA USED  BIPART PRODUCT RULE OF DIFFERENTIATION…

Q: 8. y = va? + x²

A:

Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: calculate the derivative with respect to x.

A:

Q: The derivative of y=eSinh/x +cosh¬/x equals

A:

Q: FIND THE DERIVATIVE Of THE GIveM. FUMCTIC 3.) f(x) = Logio( ) %3D 8.) g= arccose-* 9.): y = qsin? x…

A: To find the derivative of the function7) fx=log10xx-18) y=arccosec-x9)y=9sin2x

Q: Find the derivative. f(x)=tanh(2 + e^3x)

A:

Q: Find the derivative of the fx and evaluate the derivative at the given value of a. f(x)=(sin…

A: Given that, f(x) = (sinx) ln(10x) a = π2 We have to find the derivative of f(x) at point a.

Q: I need help evaluating a derivative of a function at the point (pi/2,18pi)

A: We have given

Q: Find the derivative of the following function, where x is already declared as a symbolic variable: f…

A: We have to find the derivative of the given function…