Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative algebraically; then see Example 2(b) in Section 10.5.] f(x) = x2 − 8x; a = −7

Q: Find the slope and the equation of the tangent line to the graph of the function at the given point.…

A: Given,f(x)= -2x +5 and the point (1-,7)

Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

A: Solution:

Q: Find the derivative of the f(x) = (x² + 1)³

A: To find the derivative of the function: fx=x2+13

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

Q: Find the value of the derivative (if it exists) at the indicated extremum. -4 4/6 3 f(x) = - 3xVx +…

A: To find: The value of the derivative fx=-3xx+2. Formula used: Product rule of differentiation:…

Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

Q: If the slope of the tangent at any point of a function f passing through the point (2,-2) Is e^(-…

A:

Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

A:

Q: Find the derivative of  C(x)=(2x3)/(3x4+2)

A:

Q: Find the derivative of h(x)= (-2x-3)7/ (4x+2)4 You should leave your answer in factored form.

A: To differentiate the given rational function (quotient) in the required (factored) form

Q: What is the derivative?  (3x-4)2(x3)

A:

Q: The derivative of the function f(x) = 4x-1 is

A:

Q: x4 -5 7) f(x) = In %3D

A: fx=lnx4-5x first, simplify the function  f(x)=lnx4x-5x f(x)=lnx3-5x now take derivative

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM y= e3x-e-3x/e3x+e-3x

A: Second derivative of a function.

Q: Find the derivative of the function. h(x) = (4x3 + 2x + 5)/x

A: Given that h(x)=4x3+2x+5x

Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: The derivative of x- 1 is -2 1 + A -2 1 B -2 1 C -2 +1+ D -2 1 + E

A: Let's find.

Q: Find the derivative of h(x) = x 2(9x + 2).

A:

Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: find the derivative using the definition g(x) = 2x2 + 1

A:

Q: Find the derivative of the function. Provide the solution in factored form. f(x) = 2x(x³ – 2)6 %3D

A:

Q: 4x+1 b. g(x) 9х-2

A: Given : g(x)=4x+19x-2   To Find : Derivative of g(x) using definition   NOTE:If f(x)=uv  , where u…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: find the derivative function of f(x)=x³+4x²-5

A:

Q: 1+x y = 3-x2 ||

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

Q: e3x-e-3x y - 23x+e-3X %3D

A: d2dx2e3x-e-3xe3x+e-3x=ddx12e3x+e-3x2=-243e3x-3e-3xe3x+e-3x3

Q: f(x) = 3x2 + 1

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Here we use the process of integration and use the given point to calculate the constant of…

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

A:

Q: Find the second derivative of h(x)=x2+3x-3 Simplify your answer, if possible.

A: Our objective is to find the second derivative of h(x)=x2+3x-3.

Q: Find the derivative of h(x)=1/(−3x^2+3x−2)^3. may leave answer in factored form.

A:

Q: Find the derivative of g(x) = 4x 1+4* •

A:

Q: The graph of function f(x) is shown below. At which value of a is the derivative of the function…

A: The graph of the function

Q: find the derivative of  y = x^2 - 4/x^2

A:

Q: find derivative of x3 x? 3x3 3x? noe of the above

A: Given,  The expression x3  We have to find the derivative of  x3.

Q: Find the derivative of the function. x3 4) y =-1 %3D X- 1

A:

Q: Find the derivatives of the functions y = (2x - 5)-1(x2 - 5x)6

A:

Q: Find the derivative of the fractional function y=2x+1x3.

A:

Q: Find the derivative of q=(X^2-3x+1)/(x-1)

A: Given function to differentiate q=x2-3x+1x-1 The quotient rule is used to differentiate the given…

Q: - Find the derivative of the function : ƒ(x)= V2x + 3

A:

Q: Find derivatives of the A) (2x-5)3

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: Find the derivative of f(x) = e2" (3x² – x) %3D

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'x=-2x8-x2    passes through the point2,2x,y=2,2Indefinite integral:∫f'x dx=Fx+C

Q: The derivative of f(x) = x³e2x is

A:

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: