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MEDIUM
SUBJECT
Analyzing Functions Calculus Maths Problems and Solutions
Calculus
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English > Maths > All > Analyzing Functions
Question
Level
Action
Let $$g(x)=2^{x}$$.Can we use the mean value theorem to say the equation $$g^{\prime}(x)=16$$ has a ......
Level 1
The equations of two functions are given.
$$f(x)=3 x+4$$
$$g(x)=7 {x}-2$$
What value of $$x$$ ma......
Level 1
Complete the table using the function
$$f(x)=2(x+2)+4x$$
=x \sqrt{4-x}$$, for $${x}<3$$. Where does $${f}$$ have critical points?
......
Level 2
Let $${f}({x})=2 x^{3}-9 x^{2}+12$$, Where does $${f}$$ have critical points?
......
Level 2
Let $${f}({x})=\frac{x+1}{x-3}$$, Where does $${f}$$ have critical points?
......
Level 2
Let $$g$$ be a polynomial function and let $$g^{\prime}$$, its derivative, be defined as $$g^{\prime......
Level 2
Let $${g}({x})=x^{3}-12 x+7$$,The absolute maximum value of g over the closed interval $$[-4,5]$$ ?
......
Level 2
Let $$f$$ be a twice differentiable function, and let $$f(-3)=-4, f^{\prime}(-3)=0$$ and $$f^{\prim......
Level 2
Let $$h$$ be a twice differentiable function, and let $$h(8)=5, h^{\prime}(8)=0$$ and $$h^{\prime \......
Level 2
Let $${f}({x})=\frac{1}{2} x^{4}-4 x^{3}$$, For what values of $${x}$$ does the graph of $${f}$$ ha......
Level 2
Let $${h}({x})=\sqrt{4 x-8}$$ and let $${c}$$ be the number that satisfies the Mean Value Theorem fo......
Level 3
Let $$g(x)=\sqrt{5 x-1}$$ and let $${c}$$ be the number that satisfies the Mean Value Theorem for $$......
Level 3
Let $${h}({x})=3^{x}-x^{2}$$ Below is Uriah's attempt to write a formal justification for the fact t......
Level 3
Let $${h}({x})=x^{3}-9 x^{2}+7 x$$ and let $${c}$$ be the number that satisfies the Mean Value Theo......
Level 3
Let $${f}({x})=x^{3}+9 x^{2}+1$$ and let $${c}$$ be the number that satisfies the Mean Value Theorem......
Level 3
Let $${g}({x})=\frac{x^{2}-3}{x+2}$$, Where does $${g}$$ have critical points?
......
Level 3