y = V21 - 5

Q: Find the derivatives of the function defined as follow y = tan2 x

A: Given function is y=tan2x. To find the derivative of the function. Solution: Power rule of…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: Find the derivative of function defined as follows.

A: we have to find the derivative of the given function . y=2x7-8x

Q: Use the rules for derivatives to find the derivative of function defined as follows.

A: Given that : The  function is y =xexln ( x2 -1) .

Q: Use the rules of differentiation to find the derivative of the function. y = 20

A: Derivative of a constant is zero

Q: Use the rules for derivatives to find the derivative of function defined as follows. ƒ(x) = e2x…

A: We have to find the derivative of the function: fx=e2xlnxex+1 We know the rule and formula of…

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

A: y=3x7⇒y=3·x-7

Q: Use the definition of the derivative to find the derivative of the following functions. 1. f(x) = 6

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=6.

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Product Rule of differentiation : d(u.v)dx = udvdx+dudxv. dxndx=n.xn-1

Q: Use the rules of differentiation to find the derivative of the function y = 25

A:

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

A: Consider the given function:

Q: Find the derivative of the function f(x) = arccot √x

A:

Q: What is the Derivative of the function; y=tan\sqrt{x2-1}

A: Given function is y=tanx2-1. To find the derivative of the function. Solution: Chain rule of…

Q: Find derivatives of the function defined as follows. y = 1.2e5x

A: Given: y = 1.2e5x

Q: Use the rules for derivatives to find the derivative of each function defined as follows.

A: Given: y = x+3x27 To find: Derivative of the given function.

Q: Use the rules for derivatives to find the derivative of function defined as follows.

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Given that f(x)=x2-9 , c=8 find the derivative at x=c by using alternate form of derivative

Q: Use the rules for derivatives to find the derivative of each function defined as follows. y = x4/3 +…

A: Given : y = x43+4secx-3logx

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

A: Our Aim is to find the derivative of the function given below:-y=12-(i)

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

A: The given function is y=1x5

Q: Find derivatives of the function defined as follows. y = x2e-2x

A: The derivative of a product of functions can be calculated using the product rule. Product rule of…

Q: Find the derivative of function defined as follows.

A: Given y=8x2-3x

Q: Use the alternate form of the derivative to find the derivative at x=c, if it exists. f(x) = x³ +…

A: Given f(x) = x³ + 2x² + 1, c = -2 Find the derivative at x= c if exist by using the alternate form…

Q: Use the rules of differentiation to find the derivative of the function             g(t) = 2/3t2

A: Given,           g( t ) = 23t2

Q: Find the derivative of function defined as follows.

A: Derivative of the function can be found with the help of differentiation of the function.…

Q: Use the rules for derivatives to find the derivative of each function defined as follows.

A:

Q: Use the rules for derivatives to find the derivative of function defined as follows.

A: The given function is: y=ln2x-1x+3 To find the derivative of this function, apply the quotient rule,…

Q: Find the derivatives of the function defined as follows. y = -3e2sin x

A: The function: y=-3 e2 sin x

Q: Find the derivative of the function by using the rules of differentiation. f(t) = 7t2 + √t

A: Rules of Differentiation that are used in the given problem.

Q: Find derivatives of the function defined as follows.

A: Consider a function y is defined as, yx=fxgx The derivative of the function or simply y' is…

Q: Use the rules of differentiation to find the derivative of the function. y = x12

A: The given function is y=x12 rule used: ddxxn=nxn-1

Q: Find the derivative of function defined as follows.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the rules of differentiation to find the derivative of the function.                y = t2 − 3t…

A: Differentiation: y=t2-3t+1Derivative of the function we need to find out.We knowddx(xn)=n.xn-1

Q: Let y = (x² + 3)'. Use the General Power Rule to find the derivative. y =

A:

Q: Use implicit differentiation to find the derivative, y', for the following. xcosy = 7x2 - 5y

A:

Q: Use the Chain rule with other differentiation rules to find the derivative of the following…

A:

Q: Find derivatives of the functions defined as follows: . y = -8e3x

A: Given: y = -8e3x Formula used: If f(x) is any function and k is a constant then ddxkf(x)=kddxfx…

Q: f(t) = 4t – 5t2

A: f(t)=4t-5t2

Q: Find the derivative for y=

A:

Q: y² (е2*) 3 Зу + х2

A:

Q: Use the rules for derivatives to find the derivative of each function defined as follows. y = 2 tan…

A: Consider the provided function, y=2tan5x Use the rules for derivatives to find the derivative. Now,…

Q: f(x)=

A: we know derivative rules, Common Functions Function Derivative Difference Rule f - g f' − g'…

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: Find the derivative of the function - (tan(æ)). Y = y'

A:

Q: Find the derivative of the function by using the rules of differentiation. f(t) = 3t2 + / f'(t) =

A:

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: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Find derivatives of the functions defined as follows: . y = 1.2e5x

A: the given function is: y=1.2e5x we have to find the derivative of the given function.

Q: Find derivatives of the functions defined as follows: y = ex2

A:

Q: Use the rules of differentiation to find the derivative of the function. y = x7

A: Given: The function y=x7, To find: The derivative of given function.

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: