Find the derivative of f( x ) - 237z. f'(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: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: Find the derivative of the function f(x) = 2sin x %3D

A: Given       f(x)=2sin x

Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of ƒ (x) = 5ª In (x).

A:

Q: Compute the derivative using derivative rules. y = 4e -x + 7e -2x

A: Given:     To determine: derivative of the given function

Q: (4) Find the derivative of f(x)= tanx+5

A:

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

A:

Q: Find the derivative of the function using 3-step rule: v (t) = -.

A:

Q: show that nth derivative of  f(x)=x^2/(2x+1)(2x+3)

A: nth derivative of f(x)=x2(2x+1)(2x+3) f(x) can be written as by using synthetic division method…

Q: Find the derivative of the function without using the Quotient Rule. y

A:

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: Estimate the derivative of f(x) = sin x at x = π/6.

A: Given,       f(x) = sin x at x=π6

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

A:

Q: Find the derivative of ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: S(x)= Jx-5

A: given that f(x)=1x-5 find the derivative from first principle f'x=limh→0 fx+h-fxh

Q: Find the derivative of the cosecant function y=cscx.

A: Given: y=cosecx we know that cosecθ=1sinθ similarly, y=cosecx=1sinx

Q: derivative of f(x)= 3sin2x

A:

Q: find derivative of the U function 1-x f(x) = sec-1. 1+ x ーオ

A: Explanation of the answer is as follows

Q: Find derivative of y=xsin2x

A: We will need product rule. Assume, u=x and v=sin2x. Now, we have u=x ⇒u'=dudx=dxdx=1  and v=sin2x…

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.

A:

Q: a the derivative of h(x) = ln + 2 x5 et |

A:

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

A: Given:

Q: Find the derivative of f(x) = (x2-ex) tan x

A:

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

A:

Q: h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

A: Topic = Derivative

Q: Find the derivative of xn by first principle or ab-initio method.

A:

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

A:

Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: Find the derivative of the function using chain rule. f(x) = esin?x

A:

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

A:

Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: Find the first and second derivative of f(x) = ln(x)/rootX

A:

Q: Find the derivative of the function.   y = In(x)/x9

A:

Q: Find the derivative of the function. using chain rule y = sin(sin(sin x))

A: Given: y=sinsinsinx

Q: Can the  derivative of f(x) be zero in the interval [-1,0]

A: Given, fx = x4+8x+3  f'x = 4x3+3   We have to find the derivative of fx be zero in the interval -1,0…

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

A:

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

A:

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

A: To find the derivative of f(x) = ln( ln (ln 3x)), differentiate f(x) with respect to x.

Q: Find the derivative of the function without using the Quotient Rule. y = -

A:

Q: calculate the first four derivatives of xe^(-x)

A: Here, we use product rule of differentiation which states that (uv)'=uv'+u'v, to get the derivative.

Q: x² q(x) =- sin(x)

A:

Q: In(x-

A:

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

A:

Q: Find the second derivative of g(x) = secx.

A: Given : gx = sec2x

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

A:

Q: Find the derivative of using first principle?

A: we have to find first derivative of y by using first princple

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.