6 g(x) (4x2 + 5x)' g'(x) =

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 the function  y = ln (8x3-x2)

A:

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: Find the derivative and second derivative of g(x)=x(100-x^2)^(1/2).

A: Since the placement of the radical sign is not clear whether it includes x or no, the question has…

Q: Find the derivative of the function by using the rules of differentiation. f(x) = −5x2

A: The power rule of differentiation states that the derivative of ddxxn=nxn-1. The main objective is…

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A:

Q: Find the derivative of: f(x) = (x3 + 2) In(x)

A: Consider the function

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: Find the derivative of the function. y = In(x8)

A:

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: Find the derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: How do you find the derivative of y = ln2x8

A: Explanation of the solution is given below....

Q: Find the derivative of [(xt1)*] /x.

A:

Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

A:

Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: Find the derivative of f(x)= xtan(x)

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. (x) - In(4 - x") f'(x) -

A: Find the derivative of the function.      fx=ln4-x8

Q: y=x²

A: I have stated the used formula in the solution

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 derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

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

A: Given:

Q: 3. Find the derivative of f(x) = x2020 – 2019.x" – 7x3 – 9x + en".

A: To Determine: Find the derivative of f(x)

Q: Find the derivative of the function. f(x) = x6 ln(x)

A:

Q: Find the derivative of f(x)=2/3x

A: Given is fx=23x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the given…

Q: Find the derivative of f (x) = -4 tan (x).

A:

Q: Find the derivative of f(x) = -5x

A:

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

A:

Q: Find the derivative of the function. g(x) = 9 + In(x)

A: We have to find the derivative of : g(x)=ex29+ln(x)

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

A:

Q: Find the 1400th derivative of f(x) = xe-X.

A: Here we find derivatives of function.

Q: Find derivative of: g(x) = sin(x-3x2)

A: Given query is to find the derivative of g(x).

Q: Find the derivative of 5-4x+x²+ln(7)

A: By using differentiation formula, we find the derivative of given function.

Q: x² q(x) =- sin(x)

A:

Q: In(x-

A:

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

A: Given

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A:

Q: function

A:

Q: Find the derivative of (x+5) / (x2-1) with respect to x.

A: Here we have to use formula of derivative  dxndx=nxn-1

Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

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

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

Q: f(x) = 7xe

A: We can find the answer as below.

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:

Q: Find the fourth derivative of  f(x)=7x+ln(x)−125x.

A: