Calculus 1 : Lines
Study concepts, example questions & explanations for Calculus 1
All Calculus 1 Resources
Example Questions
Example Question #21 : How To Find Slope By Graphing Functions
What is the slope of 
To find the value of the slope at 
Example Question #21 : How To Find Slope By Graphing Functions
What is the slope of 
To find the slope, you must first find the derivative. To take the derivative, multiply the exponent by the leading coefficient and then subtract 1 from the exponent. Therefore, the derivative is: 
Example Question #21 : How To Find Slope By Graphing Functions
What is the slope of 
To find the slope, you must first find the derivative function. To take the derivative, multiply the exponent by the leading coefficient and then subtract 1 from the exponent. Therefore, the derivative is: 
Example Question #21 : How To Find Slope By Graphing Functions
What is the slope at x=1 if 
To find the slope, you must first find the derivative of the function. To take the derivative, multiply the exponent by the coefficient in front of the x term and then subtract 1 from the exponent: 
Example Question #26 : How To Find Slope By Graphing Functions
Find the slope of the line tangent to the curve of g(x) when x is equal to 5.
Find the slope of the line tangent to the curve of g(x) when x is equal to 5.
To find the slope of a tangent line, first find the derivative of the beginning functions:
Will become:
Next, simply plug in 5 everywhere we have an x and solve.
So our answer is 55548
Example Question #21 : How To Find Slope By Graphing Functions
Find the slope of the line tangent to h(x), when 
Find the slope of the line tangent to h(x), when 
To find the slope of a tangent line, we need to find the derivative of our function:
Begin by recalling the rule for polynomial derivatives, derivative of sine, and derivative of
Polynomials derivatives are found by decreasing our exponent by one, and then dividing by that number.
The derivative of sine is cosine
The derivative of 
So with that in mind, let's find h'(x)
Next, we need to find h'(0), so plug in 0 for x and simplify:
So our slope is 0 when x=0.
Example Question #21 : How To Find Slope By Graphing Functions
Find the slope of the line tangent to f(x) when x is -5.
Find the slope of the line tangent to f(x) when x is -5.
To find the slope of a tangent line, first find the derivative. Then, plug in the given point. Recall the power rule of derivatives. (Multiply each term by its exponent, then subtract one from the exponent)
Becomes:
Next, plug in -5
In doing so, we arrive at -112530, a very steep slope indeed!
Example Question #21 : How To Find Slope By Graphing Functions
If the equation for a graph given is 
None of the above.
In order to find the slope, you take derivative of the graph equation. Then by plugging in any 
In order to take the derivative of equation, the power rule must be applied, 
Taking the derivative of the graph equation
Plugging in 
Certified Tutor
Certified Tutor
All Calculus 1 Resources
