s. f(x) = x4. x/15 - 5x02 8 X x4 - 2x

Q: Find the value of the constant k that makes the function continuous.

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: Find the derivative of the function G(x) 1 + 2x3 – x2 + 5.3x + /10.

A: GIVEN:   G(x) = 12x4 + 2x3 - x2 + 5.3x + 10

Q: Suppose ƒ is an even function and Evaluate

A:

Q: Find the derivative of the function.

A: fx=x3-2x+3x-3

Q: Find the derivative of the algebraic function.

A: To Find the derivative of the algebraic function. f(x)=x2+5x+6x2-4

Q: Find the derivative of f(x) = -4x ( 3' *(3"). %D 3+4

A:

Q: Find the second derivative of the function. f(x) = 5(2 − 7x)ª

A: The given function is fx=52-7x4. Find the second derivative of the given function. Here we use the…

Q: Find the derivative of the function. f(x)=(x^3+3x+9)(8+(1/x^2))

A: The given function f is,

Q: Find the derivative: n[(x³ + 2) (x² + 3)].

A:

Q: Find the higher-order derivative. f(4)(x) = (x² + 6)² f(6) (x) =

A: Finding the 6th derivative, given the fourth derivative.

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x…

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer…

Q: Find the second derivative of the function. f (x) = 5(2 – 7x)*

A: Find the second derivative of the function

Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

A:

Q: Find the second derivative of the function. f(x)= (3x³+6)* %D

A:

Q: Find the second derivative of the function.

A: Given function is  fx=4x32 The derivative used here is  dxndx=nxn-1 The derivative of the first…

Q: Find the derivative of the function described. (Rx5) 3. f (x) = (1 +x + x² + x³ )'³

A:

Q: The derivative of f(x) = In(5x³ – 12) Is

A:

Q: Find the third derivative of the function f(x)=2x5-7x4+4x2-8x+11.

A: on doing diffrentiation with respect to x we will get

Q: p(4)(x) = (x² + 9)² f(6)(x) =

A: Given: f""(x)=(x^2+9)^2

Q: Consider f(x) = 3X. What is the best approximation for f'(2)?

A:

Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

A:

Q: Find the indicated derivative.f '(x) for f(x) =(x + 3)(x − 4)x2 + 4

A: Given function f(x) = (x+3)(x-4)x2+4differentiating this function with respect to x we get…

Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

A:

Q: What is the derivative of p(x)=(2x^4+2)^x

A: Using logarithmic differentiation we can find the derivative of the given function.

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

A:

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

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

Q: Find the derivative of the function.

A: Differentiation is the process of finding the rate of change of one variable with respect to another…

Q: Find the second derivative of the function. f(x)= [3x3+7]7

A:

Q: Find the local extrema of the function f(x)=x3−12x.

A:

Q: Write the equation of the line tangent to the graph of f(x) = -3x² + 5x +1 at x=1 and use it to…

A:

Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

Q: Find the derivative of the function. f(x)=(x^3+9x+8)(7+1/x^2)

A: fx=x3+9x+87+1x2⇒fx=x3+9x+87+x-2

Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

A:

Q: Find the derivative of the function. g(x) = 3(4 − 9x)5/6

A:

Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

A:

Q: find the derivative of the function f(x)=8x^2ln8x

A:

Q: Find the derivative of the function. f(x) = (5x + 7)³ (06² +00) ² f1(x)

A:

Q: Find the second derivative of the function. h(x) = 6x−2 + 7x2

A: Given function is hx=6x-2+7x2   Differentiate the function with respect to x.…

Q: The derivative of f(x) = x4 + 4e2x is-

A:

Q: Find the derivative of the function. f(x) = x2 + 5 − 3x−2

A: Known fact: ddxxn=nxn-1ddxf±g=dfdx±dgdxddxk=0   where k is constant

Q: Find the Derivative of the Function: 2x2 3 | f (x) 5x? 6

A:

Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…

Q: (4) Find the derivative of h(x) = 5x³esec(x) .3 %D

A: We need to find the derivative of

Q: Find the derivative of the function.h(x) =9x9−7x7+ 8x

A: we will find derivative of f(x)we will use power rule

Q: find the derivative h(x) = 2 x2 − 8 x8 + 6 x

A: