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Derivatives Definition And Basic Rules Calculus Maths Problems and Solutions

Many students find Derivatives Definition And Basic Rules for Calculus particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Derivatives Definition And Basic Rules from for Calculus preparation.

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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}$$-coordinates 3 ......
Level 1
Find $$g^{\prime}(3)$$, if $$g(x)=x^{2}$$ ......
Level 1