Use the limit definition to compute the derivative of the function f(t) = ^ at t = -3 4-t (Use symbolic notation and fractions where needed.) f'(-3) Find an equation of the tangent line to the graph of f at t = -3. (Use symbolic notation and fractions where needed. Let y = f(t). Express equation in terms of variables y and t.) equation:

Q: g(x) = %3D I+3 32C

A: Derivatives

Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

A:

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o,…

A: Given that:                    f(x) has a positive derivative over (-∞, 5) and (-5, 4) and a…

Q: Find the derivative of the function y = 9 sec- (x + 5). (Use symbolic notation and fractions where…

A:

Q: b. f(x)=7x²e"

A:

Q: y=x2ln(x+5)   find the derivative

A:

Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: use the reciprocal rule or the quotient rule to determine the derivative of the function.…

A: Given :Bu=u2u+1To find the derivative of the above function using reciprocal rule or quotient rule.

Q: 5x + 8 f(æ) : 9x2 + 4

A: Topic- differentiation

Q: The derivative is the slope of the tangent line at any point. Find the equation of the tangent line…

A: