Find the derivative of f(x) = x cos x using the product rule.

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: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

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

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

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 f(x) = 3x° cos(x). 8 CoS f'(x)

A: Given query is to find the derivative of the function.

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 of the function by using the rules of differentiation. 1 f(x) = f'(x) =

A: topic - derivative of a function

Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: Find the derivative of f(x) = (Cosx)*

A:

Q: Find the derivative of f(x)=e^(tanx)

A:

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

A:

Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: Find the derivative of f(x) = ln∣cos x∣.

A:

Q: Find the derivative using the long method y = sec x

A:

Q: Find the derivative of f(x) = x° cos x f'(x) =

A: we have to find derivtive

Q: Find the derivative of f(x)=[sin(3x)]^3

A:

Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: FInd the derivative using implicit differentiation rules x2+y2=x+y

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

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Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: Find the derivative of y using implicit differentiation ycos(x) = x2 + y2

A:

Q: Find the derivative of f(x) = x² cos r.

A: The given function fx=x2cosx Differentiate with respect to x using the product rule…

Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: Compute the derivative using derivative rules.

A:

Q: Find the derivative of f(x) = -1 csc (cos r)

A:

Q: Find the derivative of y with respect to x using implicit differentiation in the equation *'y =…

A:

Q: Find the derivative of the function by using the chain rule. sinx (a) h(x) = tan(x³ sinx) (b) y= %3D…

A: To find the derivative of the given function using the chain rule, which is:…

Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: Find the derivative of f (y) In(y)

A:

Q: Find the first derivative of the function of f(x) using any method?

A: Given,

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

A:

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

A:

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: (a) h(x) = tan(r'sinx

A:

Q: Use the Product Rule to find the derivative of the function.                                 f(x) =…

A: we have to find the derivative of the given function using product rule.  f(x) = x3 cos x

Q: 5. f(x)%3D + cos X

A:

Q: Calculate the derivative of the function y=x(2+3x) without using the product rule.

A: Given function is y=x2+3x. Given function can be written as y=2x+3x2. Power rule of differentiation…

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

A: Given function

Q: Find the derivative of h(x) = (1+ cos x)*

A:

Q: Find the derivative of h(x) = sin2x

A:

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

A:

Q: sinx (a) h(x) = tan(x² sin.x) (b) y= V1+cos.x

A:

Q: Find the derivative of  f(x) = tan(cos(x^2))

A: f'(x) = d (tan(cos x2)dx  f'(x) = sec2(cos(x2))d cos x2dx               because   d (tan(x))dx =…

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

A:

Q: Find the derivative of x + y = 10 using implicit differentiation. %3D

A: We have to find the derivative of x2+y2=10 using implicit differentiation.

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.