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3.8: Derivatives of inverse trig functionsObjective: Students will be able to… Find the derivative of inverse functions and inverse trig functions
Is sec x one to one?
Proof: y= sec (x) Write inverse: Differentiate:
If u is a differentiable function, then,
Examples: find the derivative
Derivative of the other threeInverse Function—Inverse Cofunction Identities
Find an equation for the tangent line to the graph y=cot-1x at x = 1.
Calculator conversion identities
Consider the function We could make a graph of the slope: slope Now we connect the dots! The resulting curve is a cosine curve. 2.3 Derivatives of Trigonometric.
Quiz TUESDAY 3.1, 3.2 Find derivatives using original and alternate definition of the derivative Understanding the definition of derivative (examples 2.
Trigonometry Review Find sin( /4) = cos( /4) = tan( /4) = Find sin( /4) = cos( /4) = tan( /4) = csc( /4) = sec( /4) = cot( /4) = csc(
Equations of Tangent Lines
Find the slope of the tangent line to the graph of f at the point ( - 1, 10 ). f ( x ) = 6 - 4x
Point Value : 20 Time limit : 2 min #1 Find. #1 Point Value : 30 Time limit : 2.5 min #2 Find.
Derivative Review Part 1 3.3,3.5,3.6,3.8,3.9. Find the derivative of the function p. 181 #1.
Derivatives - Equation of the Tangent Line Now that we can find the slope of the tangent line of a function at a given point, we need to find the equation.
What is entry A in the matrix multiplication: ( a) 1 (b) -2(c) 5 (d) 11(e) 13 (f) 0.
Differentiating the Inverse. Objectives Students will be able to Calculate the inverse of a function. Determine if a function has an inverse. Differentiate.
Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.
We can find the inverse function as follows: Switch x and y. At x = 2 : To find the derivative of the inverse function:
The Chain Rule Section 2.4.
Sec 3.2: The Derivative as a Function If ƒ’(a) exists, we say that ƒ is differentiable at a. (has a derivative at a) DEFINITION.
2.4 Chain Rule. Chain Rule If y=f(u) is a differentiable function of u and u=g(x) is a differentiable function of x then y=f(g(x)) is a differentiable.
3.9: Derivatives of Exponential and Log Functions Objective: To find and apply the derivatives of exponential and logarithmic functions.
Chapter 4 Identities 4.1 Fundamental Identities and Their Use
Lesson: Derivative Techniques 2 Obj - Derivatives of Trig Functions.
3.8 Derivatives of Inverse Trigonometric Functions.
Derivatives of Inverse Trigonometric Functions
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