Find the derivative of f(x) = v3x + 1 using the general formula for differentiation.

Q: Calculate the derivative of the func f(x) = U(x) Use the log-differentiation method)

A: In this question, the concept of the derivative is applied. Derivative We can use a derivative to…

Q: Find the derivative of the function.

A: Given: To find: Derivative

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

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

Q: Find the derivative of the function by using the rules of differentiation. 1 f(x) = f'(x) =

A: topic - derivative of a function

Q: Use the rules of differentiation to find the derivative of the function.

A: y=3x7⇒y=3·x-7

Q: Find the derivative using the long method y = vx + 2

A:

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: Find the derivative of the following function using the rules of differentiation: g(x) 3xv1+ x?

A:

Q: Find the derivative of the function by using the rules of differentiation. , f(x) = 0.7x-1.1 f'(x) =…

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Q: Find the derivative of the function

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Q: Find fifth order derivative of the function f(x) = x*Sin (2x +1) by using Leibnitz theorem.

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Q: Use the rules of differentiation to find the derivative of the function. y = 1/x5

A: Consider the given function:

Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: 7) f(x) = 3e In x %3D

A:

Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: Use the rules of differentiation to find the derivative of the function. 2 h(x) 16 sec x h'(x) = %3D

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Q: Find the derivative of the function f by using the rules of differentiation. f(x) = (1 + 3x²)² + 2x³…

A: The given function is fx=1+3x22+2x3.

Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: Find the derivative of the function by using the rules of differentiation. f(x) = 2x4/3 - x3/2 + x²…

A: Given that:f(x)=2x4/3-23x3/2+x2-6x+1

Q: Compute the derivative using derivative rules.

A:

Q: Use the rules of differentiation to find the derivative of the function. y = -10 y' = %3D

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Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.

Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: y=x²

A: I have stated the used formula in the solution

Q: Use the rules of differentiation to find the derivative of the function. h(x) = 4Vx + 3Vx %3D h'(x)…

A: Given function is hx=4x+3x3. Solution: Power rule of differentiation states that: ddxxn=nxn-1 Sum…

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

A: Given:

Q: Find the Derivative of the function f by using the rules of differentiation F(x) = x^3+4x^2 + x -4…

A: Power rule:ddxxn=n xn-1ddxx=1

Q: Find the derivative of Vry = -3+x*y° using implicit differentiation.

A:

Q: find the derivative of the function using the techniques of differentiation:f(x)=x^2+3x+ ^3sqrt(x)

A: Given a function in x, f(x) as shown below. We need to differetiate f(x) with respect to x.

Q: Find the derivative of the function. f(x) = sin (4x) %3D

A: To find the derivative of the function.fx=sin-14x

Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Find the derivative of the function f(x) v4-x by definition

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Q: Use the rules of differentiation to find the derivative of the function. h(x) = 6Vx + 3x

A:

Q: Calculate the derivative of the function y=(x−1)(x−2)2 without using the product rule for the…

A: Consider the given function y = (x−1)(x−2)2. Simplify the given expression as follows.…

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: f (x) = 1 − 2x  point,  x = 2 To use quick approximation to estimate the derivative, f'(2).

Q: Use the rules of differentiation to find the derivative of the function. h(x) = 4Vx + 3x h'(x) = %3!

A: h'(x)=ddx(h(x))h'(x)=ddx(4x+3x3)h'(x)=ddx(4x)+ddx(3x3) .....( 1)using power rule ddxxn=nxn-1and…

Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Find the derivative of the function by using the rules of differentiation. f(x) = 6x4/3 – 2x3/2 + x²…

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Q: Find the derivative of f(x) = ln v4 – x2 %3D

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Q: Use the rules of differentiation to find the derivative of the function.

A: Use the rules of differentiation to find the derivative of the function.

Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

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Q: Use the rule of differentiation to find the derivative of the given functions 1. y = (4x - 1)5

A: Questions basically from differentiation.  Note-As per our guidelines we are supposed to answer only…

Q: Find the derivative of the function f(x) = v4-x2 by definition

A: The given function is f(x)=4-x2 The definition of the derivative is given by: If a function f(x) is…

Q: Use the rules of differentiation to find the derivative of the function.

A: Given : fx=x19 Differentiate the above function w.r.t 'x" f'x=ddxx19 Recall the formula ddxxn=nxn-1

Q: Calculate the derivative of the function y=x2−x−1x without using the quotient rule.

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Q: Find the derivative of the function by using the rules of differentiation. f(x) = 0.006x³ – 0.02x² +…

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Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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Q: Find the derivative of f(x) : %3D

A: We need to differentiate the function f(x)=1x with respect to x. We also know that ddxxn=nxn-1.