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English > Maths > All > Derivatives Definition And Basic Rules

Question

Level

Action

What is the slope of the secant line that intersects the graph of $$h(x)=\sqrt{15-2 x}$$ at $$x=3$$ ......

Level 1

What is the average rate of change of $$g(x)=7-8 x$$ over the interval $$[3,10]$$ ?
......

Level 1

What is the slope of the secant line that intersects the graph of $$g(x)=\frac{x}{x^{2}+1}$$ at $$x=......

Level 1

Evaluate $$f^{\prime}(5)$$
![](http://admin.getprephub.com/media/editor/d5_20220927185533179827.png)......

Level 1

Compare $$h^{\prime}(-1)$$ and $$h^{\prime}(2)$$
![](http://admin.getprephub.com/media/editor/d6_2......

Level 1

Estimate $$f^{\prime}(0)$$
![](http://admin.getprephub.com/media/editor/d7_20220927185738485049.png......

Level 1

Compare $$g^{\prime}(4)$$ and $$g^{\prime}(6)$$
![](http://admin.getprephub.com/media/editor/d8_20......

Level 1

The tangent line to the graph of function $${f}$$ at the point $$(2,3)$$ passes through the point $$......

Level 1

For a function $$f$$, we are given that $$f(8)=1$$ and $$f^{\prime}(8)=2$$. What is the equation of ......

Level 1

The tangent line to the graph of function $$g$$ at the point $$(1,5)$$ passes through the point $$(......

Level 1

For a function $$g$$, we are given that $$g(-1)=3$$ and $$g^{\prime}(-1)=-2$$. What's the equation o......

Level 1

A secant line intersects the curve $$y=\ln (x)$$ at two points with $$x$$-coordinates 2 and $$2+h$$.......

Level 1

What is the average rate of change of the function $$h(x)=e^{x}$$ over the interval $$[2, t]$$ ?
......

Level 1

What is the average rate of change of the function $$f(x)=2^{x}$$ over the interval $$[3,3+h]$$ ?
......

Level 1

A secant line intersects the graph of $$f(x)=2^{x}$$ at two points with $$x$$-coordinates 3 and $$t$......

Level 1

A secant line intersects the curve $$y=2 x^{2}+1$$ at two points with $$x$$-coordinates 4 and $$4+h$......

Level 1

What is the average rate of change of $$h(x)=x^{2}+5 x-4$$ over the interval $$[-2, t]$$ in terms of......

Level 1

What is the average rate of change of $$f(x)=x^{2}+3 x+2$$ over the interval $$[-1,-1+h]$$ in terms ......

Level 1

A secant line intersects the graph of $$f(x)=x^{2}+5 {x}$$ at two points with $${x}$$-coordinates 3 ......

Level 1