Use the product rule to find the derivative with respect to the independent variable. V7x (6 + x?) f(x) = f'(x) = %3D

Q: fex)=Dx3+ x + xs+3

A: We have to find

Q: Find the derivative of the function. y = 6sin(πx)

A: Formula:

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

A:

Q: Find the derivative of the function below. y = 5x sin- x + V 16 - x² dy dx II

A: here is the important formulae which is  used to the given problem: 1) d(xn)dx=nxn-12) d…

Q: Find the derivative with respect to the independent variable. f(x) = cos (- 23x) f'(x) =

A:

Q: Find the derivative of the function

A:

Q: Y=2In(Sin x)

A:

Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

Q: Use the quotient rule to find the derivative of the function. * + 4 X-9 dy dx I3D

A: This question is related to differentiation, we will use quotient rule to solve it.

Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: 2. For y = 6x*V4 + x, find y(2).

A:

Q: Find the derivative of the function f(x) = arctan ex

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: Find the derivative of the function. y = 2 cos5 x

A: Given, y = 2 cos5 x To evaluate, dydx

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: Find the derivative y = cosh(2x)

A:

Q: F(x) 1+ xe

A:

Q: Find the derivative using the appropriate rule or combination of rules. y = x cos(1 − 3x)

A:

Q: Compute the derivative using derivative rules. y= cos(1/x) / (1 +x 2)

A: Derivative: The rate of change of a function with respect to a variable. y=fxy'=limh→∞ f(x+h)-f(x)h

Q: 10. y = Jx

A: We have to find derivative of - y=f(x)=1x using delta method. Delta method to find derivative is…

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: Find the derivative of the function g(x)= integral  x2  tanx  (1/square root 4+t4) dt

A: Leibnitz integral rule for Differentiation :               ddx ∫α(x)β(x) f(t,x) dt = ∫α(x)β(x)…

Q: Use the product rule to find the derivative with respect to the independent variable. V7x (6 + x*)…

A: According to the product rule of differentiation:

Q: Find the derivative of the function below. f(x) = (49 + x)V arctan (ラ) f (x) =

A:

Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

A:

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

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

Q: Find the derivative of the function. y = tanh6(9x) %3D y' =

A:

Q: Find the derivative of the function f(x) = 1+ ex

A: First I have written the formula of quotient rule of derivative, just use the rule for given…

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a…

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

Q: find the derivative of y with respect to the appropriate variable.23. y = (x2 + 1)sech (ln x)

A: Definition used -             ddxsech(x) = -tanhxsechx          Product rule of derivative -…

Q: Use the quotient rule to find the derivative of the function. X +4 y = X- 9 dy dx

A:

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

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

A: We  can make it easier for you.

Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) %3D f (x) =

A:

Q: Find the local extrema of following equation with the second derivative test. y = 3x³ + 2 x³

A: Given: y=3x3+15x5 To Find: The local extrema of the given function using second derivative test.

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: Use the chain rule and product rule to find the derivative of f (x) = e" (sin(x)² + x).

A: Given Data: Function: ex(sin(x)2+x)   The chain rule of the derivative is, ddxfgx=fgxg'x ......1…

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = x4/cos x

A: Given function: y=x4cosx Recall Product Rule ddxmn=mddxn+nddxm…

Q: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: n. y= (x+Inx)

A:

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

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = x cos x − sin x

A: Here given function as y=x cos x - sin x

Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) f'(x) =

A: Given problem is :

Q: Find the derivative. f(x) = eX cosh(x) f'(x) =

A: First use relationship between hyperbolic function and exponential function convert coshx in…

Q: b) y = cosh(2Vx+1)

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.