g +2 Find the derivative of h(x) = ln

Q: Find the first derivative of: y=-3/√2+x

A: Given : y=-32+x To find the first derivative of the given function.

Q: Find the derivative of the function using the definition of derivative. g(x) = the square root of 8…

A: Given,g(x) = 8-x → 1Definition of derivativeg'(x) = limh → o g(x+h) - g(x)h → 2

Q: x-2 Find the 1st derivative of y= sin x+3

A: To find the first derivative of y=sinx-2x+3. Solution: Chain rule of differentiation states that:…

Q: f(x) = 4x³ - 12x² + 36x 12. What is the value of the 2nd derivative of the

A:

Q: (x+y)3=x3+y3  solve using chain rule derivative

A:

Q: QI/ find the derivative of the following function 5x +2x+3 f(x) =

A: We use d(xn)dx =nxn-1 here

Q: Find the derivative of x^2 =16^x

A:

Q: Find the derivative of the function. y = x3x + 2

A: FORMULA Generalized power rule Product rule

Q: Find the derivative of the function. f(x) = 2x3 − 5x2 + x

A: The derivative of xn is given by:…

Q: Find the derivative of the function. f(x) =  (x3 − 1x2 + 1)/x2   f '(x) =

A: We first simplify the given function

Q: first and second derivative of f(x)=x^2/(1+e^x)

A: To find first and second derivatives we will use product rule and quotient rule of derivatives. For…

Q: Example 0-12: What is the derivative of f(x) = 4x(x² + 1)3?

A: given

Q: 6. f(x) = 3-*e*

A: given: f(x)=3-xex

Q: Find the derivative of the function. g(x) = ln(8x + 3) g(x)=

A: We have to find the derivative of the function.g(x) = ln(8x + 3) Here we will use the formula of…

Q: Find the derivative of the function.   f(x) = ex2 + 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: dg Find if g(x) = ez² (in other words, find the second derivative of g). dr2

A: given that g(x)=ex2dgdx=2xex2

Q: Using first principles (by definition), prove that the derivative of a constant is 0.

A:

Q: Find the derivative if f(x)= ((x/2) + (x √x))ex

A: The given function is fx=x2+xxex. Obtain the derivative as follows.

Q: Find the derivative of the function. g(x) = ln(|x9 − x|)   g'(x)=

A:

Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: 2x+1 Use Derivative Rules to find the derivative of g(x) x2-1

A:

Q: Find the derivative of the function.   y = 4x2/ln(x)

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

Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

A:

Q: Find the derivative of the function. f(x) =  1 x5

A:

Q: second derivative of f(x)=7(5-9x)4

A: Second derivative

Q: Find the derivative of the function. h(x) =  5/ x2 +  3/ x3   h '(x)  =

A: The objective is to find the derivative of the function: hx=5x2+3x3

Q: find the derivative of the function y = -7cosx

A:

Q: Using the definition of derivative, find the derivative of f(x) = x² + 3.

A: As per our guidelines, we are supposed to answer?️ only one question.   B2(a). Find the derivative…

Q: find the derivative of the function f(x) = 6x^2(x-5)

A: f(x)=6x2x-5f'x=ddx6x2x-10=6.ddxx2x-10Appply generalized power rule:[u(x)v(x)]=u(x)v(x) [ln(u(x)) .…

Q: Use the Quotient Rule to find the derivative of the function. h(x) = x2 x + 2 h'(x) =

A: The solution is:

Q: Find the derivative of the function f(x)=x3^x f’(x)=

A: From the given problem:   fx=x3x   From the product rule:   (f·g)'=f'·g+f·g'

Q: Using logarithmic differentiation, find the first derivative of y=x√2x .

A: We have to find the first derivative of the given function using logarithmic differenciation.  In…

Q: find the instantaneous rate of change of f(x)=x^2+3x at x=3 using the formula for definition of a…

A:

Q: Determine the derivative of f(x)=(e3x−1)5.

A: We have to find the derivative of function

Q: Using the definition of derivative, find the derivative of f(x)= x² +3.

A: (As per bartleby guidelines, for multiple questions asked, only first one will be solved. Please…

Q: 2. (- 2x Find the derivative of h(x) %3D 2x + 3

A: We have to find the derivative of the function: hx=-2x2x+32 We know that square of any negative…

Q: Use logarithmic differentiation to find the derivative of the function. y = x3/x

A:

Q: 5x – 2 Find the second derivative of f(x) =x3/2 -1/4,

A:

Q: Find the derivative of the function using the definition of derivative. 1 f(x) x2 - 36 f'(x) = State…

A:

Q: f(x) = 2x² + 7x – 6. Find the first derivative of f(x) using the definition.

A:

Q: 2) Use the chain rule. (Chapter 2.5) Find the derivative y= (x² +3x)*

A:

Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 2x + 2.

A: I have appended the formula used in the solution part.

Q: Using logarithmic differentiation, find the derivative of f(x) =√(x2 − 3) / (1 − 3x)4

A: Using logarithmic differentiation, find the derivative of the given function

Q: Q-3: Use the definition of the derivative to find the derivative of g(x) = x³ – 2x2 +x – 1.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 2)f(x)=(3x^(2)+8x+3)^-5 Find the derivative of the function

A:

Q: x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

A: Topic = Derivative

Q: Find the derivative of the function using the definition of derivative. f(x) = x2 64 f'(x) = State…

A: Calculus

Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

A: Plug f(x) and f(x+h) in the definition of derivative.Express them as difference of cubesApply…