1. If f(x)=∫0 to x(t^3+6t^2+5)dt then f″(x)=

Q: 3. Approximate the first order derivative of f(x)= x² + 2x at x = 3, using Forward, Backward and…

A: Formulas for differences are enclosed next page

Q: find the derivative of f(t) t^3+3/t

A: It is derivative problem.

Q: Let f(x) = (x² + 4x) (x³ + 6) . Find ƒ'(1). (Hint: First take the derivative to find f'(x). Then…

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Q: On a map, 4 cm represents 2.5 km. If the distance between town A and town B on the map is 6.4 cm,…

A: The Scale of a Map: Ratio between the distance on the paper and the actual distance on the ground is…

Q: Find the derivative. Write the final answer without negative or fractional exponents. a. f(x)=…

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Q: Calculate the derivative of the function below using the quotient rule. y = Vx + 4x7

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Q: Please help me. *If y = √u+1 and U = 5x+1, then dy/dx is

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Q: Find the x-coordinates of all of the points on the graph of f (x) where the derivative equals 0.…

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Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: For gxy=0, shouldn't that be -12 instead of 0? Because since gx = 3x^2-12y, when you do the mixed…

A: Let                       For critical points we have          Consider…

Q: 3. f(t) = -2t2 + 3t – 6 6. h(s) = s4/5 1 +1 9. h(t) = 1* + 21 + 2

A: To find the derivative of f(t)=-2t2+3t-6, use the power rule of differentiation, ddttn=ntn-1.

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: Let f(x)=11/x^2 + 1 . Enter anti derivative

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Q: What is the derivatives of f(x)=(x^3)/(9-X^2) and its x and y intersect?

A: a) From the given problem: fx=x39-x2Ory=x39-x2   So,   dydx=ddxx39-x2=ddxx39-x2-ddx9-x2x39-x22…

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: 1 6. Find the derivative of f(x)= 1 at the point 8, Vx+1

A: Given

Q: derivative for this function

A: The given question is taken from the calculus in which we have to find the derivative of the given…

Q: Fill in the appropriate blanks for the derivatives of the given functions, then evaluate each…

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Q: Find the derivative of f(x) = (ax² + b)6 Assume that a and b are constants. f'(x)=0

A: Let given function  f(x) = (ax2 + b)6 where a and b are constant We have to find derivative of f(x)…

Q: The curve y = ax + bx + c passes through the point (1,8) and is tangent to the line y = 5x at the…

A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.