f(x) = 7xe

Q: Find the anti-derivative of f'(x)=7x

A: Given : f'x = 7x

Q: Find the derivative of the function  y = ln (8x3-x2)

A:

Q: Find the derivative of a power function with the negative exponent y=x−n.

A: We will use the power rule:

Q: Find the second derivative of the function. f(x) = 205√x

A: We use the power rule to find the first derivative

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of the function f(x) = ln(3x2 + 2x)

A:

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

A:

Q: Find the derivative of f(x)=[sin(3x)]^3

A:

Q: Find the derivative using the Four-step rule f(x)=x/1-x

A:

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the derivative 14x y = ln 3x2 + 1

A:

Q: (x) = ,2x+1

A: Explanation and solutions is given below....

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

A:

Q: 4x +2 x-12 7. f(x) = 2x

A:

Q: Find the derivative of the function f(x)=x-2/2+x square root

A:

Q: Find the derivative of f (x) = ln| x3 - 10x2 + 8| .

A: Given        f(x)=lnx3-10x2+8

Q: Find the derivative of the function. y = -4 sin 7x

A:

Q: Find the derivative of the function g(x)=x3∫x2tdt.

A:

Q: Solve the derivative of f(x)=−1/√2 x +2x

A: Given- fx=-12x+2x To find- The derivative of the above function. Formula used- Using the power rule…

Q: Find the second derivative using implicit differentiation of x2+8y2=8

A: Given:

Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: Find the first, second and third derivative of f(x) = 5x" – 2x* + 3x² + Vx.

A: Given,

Q: 1. Y= 3x -x- 2

A: Find your answer below

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

A:

Q: 1-x3+2Vx f (x) =

A:

Q: Find the derivative of f(x)=(−x^3−6x^2−6x)sin(x).

A: See the attachment

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

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

A:

Q: Find the derivative of x²e*.

A:

Q: Find the second derivative of the function. f(x) = sec x * "(x) = Noc

A: Please see the explanation below

Q: Find the first derivative of f(x) =x3/e3x

A: Given : fx = x3e3x

Q: Find the derivative of the function. f(x) = 4x In 4x f'(x)=

A:

Q: Find the thousandth derivative of f(x) = xe -x

A: Given function,  f(x) = xe-x  To find the thousandth derivative of f(x)

Q: Find the derivative of the function.

A:

Q: Find the derivative of f(x)=sin(8x) f′(x)=

A: Answer is 8cos(8x).

Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: Find the equation of the line tangent to the graph of the function f(x)=x-2x^2 at x=1 use the…

A: The equation of the curve is: f(x)=x-2x2

Q: Find the derivative of the function. g(x) = 2(3- Ex)

A:

Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: Find the first derivative of y=arctan⁴(3x⁵)

A: Find the first derivative of y=arctan⁴(3x⁵)

Q: find the derivative of the given function. f(x)= 3x2- sin(x)/x

A: Given

Q: calculate the derivative with respect to x. 3y3 + x2 = 5

A:

Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

Q: flx)= -e, 1-x2 1-e

A: To find The derivative of f(x).

Q: Find the 2nd derivative of f(x) = √2x-x²

A: