Math Problem Statement
Find the derivative f^' for each function. Simply your answer.
f(x)=x^(2⁄3)-x^(1⁄3)+4
f(x)=(3x-2x^2 )(5+4x)
f(x)=e^x sinx
f(x)=(3-2x-x^2)/(x^2-1)
f(x)=x cosx+sinx
f(x)=(2x+5)/√x
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Differentiation
Power Rule
Product Rule
Quotient Rule
Exponential Functions
Trigonometric Functions
Formulas
Power Rule: d/dx [x^n] = n*x^(n-1)
Product Rule: (uv)' = u'v + uv'
Quotient Rule: (u/v)' = (u'v - uv') / v^2
Derivative of e^x: d/dx [e^x] = e^x
Derivative of sin x: d/dx [sin x] = cos x
Derivative of cos x: d/dx [cos x] = -sin x
Theorems
Rules of Differentiation
Fundamental Theorem of Calculus
Suitable Grade Level
Grades 11-12 (Advanced Calculus)
Related Recommendation
Differentiation Problems Using the Product and Chain Rule
Differentiating f(x) = 3x^(2/3) Using First Principles and Difference of Cubes
Find the Derivative of y = x^3 - 10/x^4 Using the Power Rule
Rewrite and Differentiate y = x√(5x12−3x52−6) Using Algebraic Techniques
Finding the First Derivative Using the Quotient Rule