Efistheidentity function f(xt =X- than forany Value af c つをX

Q: Differentiate. f (t) = 2/t - 3t3

A:

Q: 14. ry = coS

A: Given:      xy=cos-1xy+1        y=cos-1xy+1x differentiating on both sides     dydx=ddxcos-1xy+1x…

Q: Differentiate the function. u = Vi + 4V7 u' =

A: Given, u=t7+4t7 This can be written as, u=t17+4(t7)12 u=t17+4t72

Q: Gilbert Strang video 'Min, Max and Second Derivative,

A: The objective of the question is to understand the concepts of minimum, maximum and second…

Q: Find Interval(s) where function is Negative, and Interval(s) of concave downward.

A: Given query is to find the interval where function is negative and concave down.

Q: Find invers of function f(x)=1/2x+1

A:

Q: Find linearization L(x) of f(x) = tanh=' at a= 0 and use it to estimate f(0.01).

A: Topic:- linearisation

Q: 3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

A:

Q: a)_f(x)= x+3 x²+3x x²-3x b) f(x)== c) f(x) = |x³ − 1| -

A: Differentiability

Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: Estimate L4 and R4 and over [0,7] for the function f(x) = 7x2

A: We have to estimate L4 and R4 in the interval 0,7 for the function: fx=7x2 L4 and R4 denote the left…

Q: BONUS 2. Are there points of inflection on the function fx) = 10x+ 3. For the function f(x) - x - 4x…

A: The maxima and minima of a function, known collectively as extrema, are the largest and smallest…

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: Differentiate the function. u = Vi + 4Vt3 u' =

A: The given function is,

Q: Differentiate the function   f(x) =    5  - 1 /x

A:

Q: Calculate R4 for f(x) = (x-1)^2 on interval [2.4]

A: the given function f(x)=x-12 on the interval 2,4

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: