Find f' (æ) for f (x) = 7 ln(4 + æ²).

Q: Find the derivative of the function.   f(x) = x5 ln(x)   f'(x)=

A: We have to find the derivative of function: fx=x5lnx Here there are two function in multiplication…

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

A: We will use the power rule:

Q: What is the derivative of `y=\ln\ x`?

A:

Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: Find the derivative.

A:

Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

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

A:

Q: compute the derivative f (x) = ln(4x2 + 1)

A:

Q: x + x dx x2

A:

Q: Compute the derivative in terms of log for y=log(xe^(-3x))

A:

Q: Find the derivative of the function. y = (ln x)4

A:

Q: f (x) = ln(x · 5*)

A:

Q: For y=ln2x, determine the equation of a tangent line parallel to 2x-3y+1=0

A: here we find the equation of a tangent which is parallel to 2x-3y+1=0. y=mx+c slope = m.

Q: Find the derivative of y =log2x

A:

Q: Find an expression for the derivative of the exponential function y=ex using the definition of…

A: To determine the derivative of exponential function y=ex using definition of derivative.

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

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

Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: Calculate the 4th derivative of the function y=x2/x−1 at x=2.

A:

Q: y = (cos(x²))*

A:

Q: Find the derivative of the function f(x) = 5ª+x² + log3 (In x). %3D

A: To find the derivative of the given function.

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: Find the derivative of z=(ln5)e^x dz/dx=

A:

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

A:

Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

A:

Q: Find the nth order derivative of the square root y=√x.

A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

Q: Find the derivative. y = 7x ln(6x) dy dx

A:

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

A:

Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: what is the derivative of f(x)=ln(tanhx)

A:

Q: Find the derivative of y = log2 4x Ox/In4 O 1/xln4 O4/1n4 @ 4/xin4

A: To solve the following problem

Q: Find the derivative of the function. y = ex ln x

A: Consider the following equation: y=exlnx Differentiate y with respect to x: dydx=ddxexlnx Apply the…

Q: Find the derivative of the function. f(x) = ln(x − 1)

A:

Q: Find the derivative. y=cos(ln 4x^6)

A:

Q: Find the derivative   Y=ln(4+X^2 )

A: The given function is,

Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Find the derivative. y =(ln(ln x))3

A:

Q: What is the derivative of (ln(3x))/x^6?

A: Let y = (ln(3x))/x6.The derivative of y is with respect to x as follows.

Q: Find the 2nd derivative of the given function fCt) = t² Int

A:

Q: f y = (sin x)x b

A:

Q: 4. y=ln(4x' +5)

A:

Q: j. y=5 ln (x² +4)

A:

Q: Find the derivative of f(x)= ln x^2/x^2+1

A:

Q: Find the derivative of f(x) = x/ln (x)

A:

Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5

Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative

Q: Find the derivative.  y = ln((x + 1)(2x + 9))

A:

Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu