For the function f(x) = 10x² – 3x + 5, find the equation of the tangent line at x = 8.

Q: y = V(4x + 3)³

A:

Q: What is the equation of the tangent for f(x) = 3(3^x) with the coordinate point x = -1

A: Given: f(x)=3(3x). Take the first derivative wrt x, f'(x)=ddx3· 3x==3ddx3x

Q: Given f(x) (x – 4)(-5x – 3), find the (x, y)-coordinate on the graph where the tangent line is…

A: For coordinate of horizontal tangent line  Differentiation of given function Finding critical point…

Q: Find the derivative of the function f(x) = (5x^4)/12

A:

Q: Find the derivative of the function. f(x) = V 5x + 4

A: Question number 1,Given,          fx=5x+4

Q: Find the derivative of the function y = 10x + 9x 8

A: Here we need to find the derivative of the given function y=10x+9x58 Now, we use the formula if y=xn…

Q: . Find the equation of the tangent to the curve f(x) = 2x + 3x – 2x + 3 at the point where x = 1.

A:

Q: For the function f(X) = ax3 +ba2 +cx, find the second derivative, f"(X). Here a,b and c are…

A: Given Function,F(x) = ax3 + ba2 + cx

Q: For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) =…

A: Equation of tangent line

Q: Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x 1.

A: You have posted multiple question. As per the instruction, we are answering the first one. If you…

Q: If f(x) = 3x 2 − 5x, find f' (2) and use it to find an equation of the tangent line to the curve y =…

A:

Q: For the function ƒ(x) = x² – 11, find the equation of the tangent line at å = −12.

A: Given function f(x)=x2-11 We have to find the equation of tangent line at x=-12 Derivative of a…

Q: Find the derivative of the function. 9x + 8x2 t(x) t'(x) =

A: We have to find derivative

Q: If f(x) = 9x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y =…

A: Given  fx =9x2-x3  Differential both sides w.r.t x and using ddxxn=nxn-1

Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

A:

Q: Find the equation of the tangent to the function f(x) =1+2x-x² at the point where x= -2. Answer:

A:

Q: For the function f(x) = 2x^2 +7x-6 Find equation of the tangent line to f(x) at x = 6.

A: Given: fx=2x2+7x-6

Q: the line tangent to f(x)=x' 3.

A: we have to find the equation of line tangent to  f(x)=x3-x2-5      , at the point (2,-1)

Q: Find the derivative of the function. y = (2x − 7)3

A:

Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: For the demand equation, use implicit differentiation to find  dp/dx. 17p2 + 5p + 6 = x

A: Given:

Q: For the function f(x) = 10x² + 10x – 1, find the equation of the tangent line at x = 2.

A: Given function     f(x) = 10x2 + 10x - 1 at x = 2,     f(2) = 10(2)2 + 10(2)  - 1 = 59

Q: Find the derivative of the function. y = (7x + 3)4

A: We have to find the derivative of the function: y=7x+34 We know the following formula of…

Q: Find the derivative of the function y=23x+3x4.

A: Given:y=23x+ 3x4Derivative formula:ddxxn=n.xn-1

Q: For the function f(x) = 8x^3-2x^2+2x, Find the equation of the tangent line at x = 2.

A: Please see the answer in Step 2

Q: 3x4 – -7Vx5 + 4 - f (x) = x2

A:

Q: find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=5e^x, x=0

A:

Q: Find the values of x where the tangent line is horizontal. f(x) = x³ + 3x² – 12

A: The tangent line is horizontal when the slope is equal to 0 dy/dx = 0 y = x3+3x2-12 dy/dx = 3x2+6x…

Q: V/2x+3) (x²+1)" 17. f(x)=-

A:

Q: Find the derivative of f (x) = 2xº – 25 + 4.

A: Given, The function is f(x)=2x9−x5+4.

Q: For the function f(x) =x2 , find the slope of the tangent line to the graph of f at the point (3, 9)…

A: For the function fx=x2, find the slope of the tangent line to the graph of f at the point (3, 9) on…

Q: Consider the function f(x) = 1/3x3 + 3/2x2 - 4x. At which point(s) is the slope of the tangent line…

A:

Q: Find the derivative of the function y = −7x(8−2x)

A:

Q: I am given the equation f(x)=(4/x)+3. How would I use the definition of the derivative?

A: According to the question, we have to find the derivative using the defination of the expression…

Q: Given f(x)=(x+1)ex find the equation of the line tangent at x=0 .  Where does the tangent line…

A: Given: f(x)=(x+1)ex To determine: The equation of the line tangent at x=0. The point at which the…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 eX +…

A:

Q: Find the derivative of the function. -x + 1 r(x) : = |(7x – 4)(x – 8) -

A: Given that a function r(x) and we find derivatives of r'(x) .   We know that d(xn)/dx= nxn-1.…

Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one…

A:

Q: If f(x) = 9x2 – x³, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A:

Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: For  f(x)=(2x−3)3, find the equation of the tangent line at x=0 and x=2.

A: Given the equation of the curve, f(x)= (2x-3)3 To find the equation of the tangent line at x=0 and…

Q: Find the derivative, but do not simplify your answer. y = (x2 + x + 8)(Vx - 2x + 3

A:

Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one…

A:

Q: Find the equation of the tangent line to f(x) = (36 + 4x²)¯ at x = Use your answer to (a) to…

A: (a) Given,              f(x)=(36+4x2)-12       at  x=0.

Q: Find the derivative of the function. y = x3 - (x2)/(28) +8x + 5

A: The given function is: y = x3-x228+8x + 5 The derivative of xn is given by: dxndx=nxn-1 And, the…

Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one…

A: Given,

Q: (c) For y = 2x2 In(4x) – x², find y'.

A:

Q: 4. Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Differentiate with respect to x

Q: Find the derivative of the function y=9x+1/8x−5 and simplify the answer:

A: